@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/115850,
    title ="New realizations of deformed double current algebras and Deligne categories",
    author = "Etingof, P. and Kalinov, D. and Rains, E.",
    journal = "Transformation Groups",
    
    
    
    month = "July",
    year = "2022",
    doi = "https://doi.org/10.1007/s00031-022-09717-9",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220726-997340000",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/111823,
    title ="AFLT-type Selberg integrals",
    author = "Albion, Seamus P. and Rains, Eric M. and Warnaar, S. Ole",
    journal = "Communications in Mathematical Physics",
    volume = "388",
    number = "2",
    pages = "735-791",
    month = "December",
    year = "2021",
    doi = "https://doi.org/10.1007/s00220-021-04157-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211110-164135228",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/112511,
    title ="Uniqueness of Polarization for the Autonomous 4-dimensional Painlevé-type Systems",
    author = "Nakamura, Akane and Rains, Eric",
    journal = "International Mathematics Research Notices",
    volume = "2021",
    number = "18",
    pages = "14204-14219",
    month = "September",
    year = "2021",
    doi = "https://doi.org/10.1093/imrn/rnaa037",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20211217-98152000",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109347,
    title ="Twisted Traces and Positive Forms on Quantized Kleinian Singularities of Type A",
    author = "Etingof, Pavel and Klyuev, Daniil and Rains, Eric and Stryker, Douglas",
    journal = "Symmetry, Integrability and Geometry, Methods and Applications (SIGMA)",
    volume = "17",
    
    pages = "Art. No. 29",
    month = "March",
    year = "2021",
    doi = "https://doi.org/10.3842/sigma.2021.029",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210602-134422197",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/107664,
    title ="An Elliptic Hypergeometric Function Approach to Branching Rules",
    author = "Lee, Chul-hee and Rains, Eric M. and Warnaar, S. Ole",
    journal = "Symmetry, Integrability and Geometry, Methods and Applications (SIGMA)",
    volume = "16",
    
    pages = "Art. No. 142",
    month = "December",
    year = "2020",
    doi = "https://doi.org/10.3842/sigma.2020.142",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210122-141416267",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81753,
    title ="Elliptic Double Affine Hecke Algebras",
    author = "Rains, Eric M.",
    journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",
    volume = "16",
    
    pages = "Art. No. 111",
    month = "November",
    year = "2020",
    doi = "https://doi.org/10.3842/SIGMA.2020.111",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170922-134529235",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81746,
    title ="A Nekrasov–Okounkov formula for Macdonald polynomials",
    author = "Rains, Eric M. and Warnaar, S. Ole",
    journal = "Journal of Algebraic Combinatorics",
    volume = "48",
    number = "1",
    pages = "1-30",
    month = "August",
    year = "2018",
    doi = "https://doi.org/10.1007/s10801-017-0790-2",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170922-130437528",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81754,
    title ="Invariant theory of ⋀^3(9) and genus 2 curves",
    author = "Rains, Eric M. and Sam, Steven V.",
    journal = "Algebra and Number Theory",
    volume = "12",
    number = "4",
    pages = "935-957",
    month = "July",
    year = "2018",
    doi = "https://doi.org/10.2140/ant.2018.12.935",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170922-135107001",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81760,
    title ="Abelian varieties isogenous to a power of an elliptic curve",
    author = "Jordan, Bruce W. and Keeton, Allan G. and Poonen, Bjorn and Rains, Eric M. and Shepherd-Barron, Nicholas and Tate, John T.",
    journal = "Compositio Mathematica",
    volume = "154",
    number = "5",
    pages = "934-959",
    month = "May",
    year = "2018",
    doi = "https://doi.org/10.1112/S0010437X17007990",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170922-140322875",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/77998,
    title ="Affine Macdonald conjectures and special values of Felder–Varchenko functions",
    author = "Rains, Eric M. and Sun, Yi and Varchenko, Alexander",
    journal = "Selecta Mathematica - New Series",
    volume = "24",
    number = "2",
    pages = "1549-1591",
    month = "April",
    year = "2018",
    doi = "https://doi.org/10.1007/s00029-017-0328-4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170607-102914977",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81764,
    title ="Multivariate quadratic transformations and the interpolation kernel",
    author = "Rains, Eric M.",
    journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",
    volume = "14",
    
    pages = "Art. No. 019",
    month = "March",
    year = "2018",
    doi = "https://doi.org/10.3842/SIGMA.2018.019",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170922-141735253",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/79339,
    title ="An Elliptic Garnier System",
    author = "Ormerod, Chris M. and Rains, Eric M.",
    journal = "Communications in Mathematical Physics",
    volume = "355",
    number = "2",
    pages = "741-766",
    month = "October",
    year = "2017",
    doi = "https://doi.org/10.1007/s00220-017-2934-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170725-124624205",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83331,
    title ="A symmetric difference-differential Lax pair for Painlevé VI",
    author = "Ormerod, Christopher M. and Rains, Eric",
    journal = "Journal of Integrable Systems",
    volume = "2",
    number = "1",
    pages = "1-20",
    month = "May",
    year = "2017",
    doi = "https://doi.org/10.1093/integr/xyx003",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171120-085000823",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/72849,
    title ="Commutation Relations and Discrete Garnier Systems",
    author = "Ormerod, Christopher M. and Rains, Eric M.",
    journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",
    volume = "12",
    
    pages = "Art. No. 110",
    month = "November",
    year = "2016",
    doi = "https://doi.org/10.3842/SIGMA.2016.110",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161215-111704158",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/70916,
    title ="On Cohen–Macaulayness of Algebras Generated by Generalized Power Sums",
    author = "Etingof, Pavel and Rains, Eric",
    journal = "Communications in Mathematical Physics",
    volume = "347",
    number = "1",
    pages = "163-182",
    month = "October",
    year = "2016",
    doi = "https://doi.org/10.1007/s00220-016-2657-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161006-112242015",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81757,
    title ="The noncommutative geometry of elliptic difference equations",
    author = "Rains, Eric M.",
    
    
    
    
    month = "July",
    year = "2016",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170922-135420800",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81758,
    title ="Vector bundles on genus 2 curves and trivectors",
    author = "Rains, Eric M. and Sam, Steven V.",
    
    
    
    
    month = "May",
    year = "2016",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170922-135945128",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/61191,
    title ="Noncommutative geometry and Painlevé equations",
    author = "Okounkov, Andrei and Rains, Eric",
    journal = "Algebra and Number Theory",
    volume = "9",
    number = "6",
    pages = "1363-1400",
    month = "September",
    year = "2015",
    doi = "https://doi.org/10.2140/ant.2015.9.1363",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20151016-074552683",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/62227,
    title ="Modeling the distribution of ranks, Selmer groups, and Shafarevich–Tate groups of elliptic curves",
    author = "Bhargava, Manjul and Kane, Daniel M. and Lenstra, Hendrik W. and Poonen, Bjorn and Rains, Eric",
    journal = "Cambridge Journal of Mathematics",
    volume = "3",
    number = "3",
    pages = "275-321",
    month = "July",
    year = "2015",
    doi = "https://doi.org/10.4310/CJM.2015.v3.n3.a1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20151119-085554759",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81762,
    title ="Bounded Littlewood identities",
    author = "Rains, Eric M. and Warnaar, S. Ole",
    
    
    
    
    month = "June",
    year = "2015",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170922-141021522",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/57132,
    title ="Limits of elliptic hypergeometric biorthogonal functions",
    author = "van de Bult, Fokko J. and Rains, Eric M.",
    journal = "Journal of Approximation Theory",
    volume = "193",
    
    pages = "128-163",
    month = "May",
    year = "2015",
    doi = "https://doi.org/10.1016/j.jat.2014.06.009",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20150501-080444288",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81770,
    title ="Birational morphisms and Poisson moduli spaces",
    author = "Rains, Eric M.",
    
    
    
    
    month = "July",
    year = "2013",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170922-144027436",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81767,
    title ="Generalized Hitchin systems on rational surfaces",
    author = "Rains, Eric M.",
    
    
    
    
    month = "July",
    year = "2013",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170922-142713387",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/39526,
    title ="Difference Operators of Sklyanin and van Diejen Type",
    author = "Rains, Eric and Ruijsenaars, Simon",
    journal = "Communications in Mathematical Physics",
    volume = "320",
    number = "3",
    pages = "851-889",
    month = "June",
    year = "2013",
    doi = "https://doi.org/10.1007/s00220-013-1692-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130723-114503880",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/38136,
    title ="Deformations of permutation representations of Coxeter groups",
    author = "Rains, Eric M. and Vazirani, Monica J.",
    journal = "Journal of Algebraic Combinatorics",
    volume = "37",
    number = "3",
    pages = "455-502",
    month = "May",
    year = "2013",
    doi = "https://doi.org/10.1007/s10801-012-0371-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130426-134058196",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/32794,
    title ="Elliptic Littlewood identities",
    author = "Rains, Eric M.",
    journal = "Journal of Combinatorial Theory. Series A",
    volume = "119",
    number = "7",
    pages = "1558-1609",
    month = "October",
    year = "2012",
    doi = "https://doi.org/10.1016/j.jcta.2012.03.001   ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120730-134423880",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/29716,
    title ="A Fuchsian Matrix Differential Equation for Selberg Correlation Integrals",
    author = "Forrester, Peter J. and Rains, Eric M.",
    journal = "Communications in Mathematical Physics",
    volume = "309",
    number = "3",
    pages = "771-792",
    month = "February",
    year = "2012",
    doi = "https://doi.org/10.1007/s00220-011-1305-y",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20120314-084236569",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/28350,
    title ="Random maximal isotropic subspaces and Selmer groups",
    author = "Poonen, Bjorn and Rains, Eric",
    journal = "Journal of the American Mathematical Society",
    volume = "25",
    number = "1",
    pages = "245-269",
    month = "January",
    year = "2012",
    doi = "https://doi.org/10.1090/S0894-0347-2011-00710-8 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20111207-112922811",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81771,
    title ="Limits of multivariate elliptic beta integrals and related bilinear forms",
    author = "van de Bult, Fokko J. and Rains, Eric M.",
    
    
    
    
    month = "October",
    year = "2011",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170922-144400917",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81775,
    title ="Limits of multivariate elliptic hypergeometric biorthogonal functions",
    author = "van de Bult, Fokko J. and Rains, Eric M.",
    
    
    
    
    month = "October",
    year = "2011",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170922-152223616",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/25495,
    title ="An Isomonodromy Interpretation of the Hypergeometric Solution of the Elliptic Painlevé Equation (and Generalizations)",
    author = "Rains, Eric M.",
    journal = "Symmetry, Integrability and Geometry, Methods and Applications (SIGMA)",
    volume = "7",
    
    pages = "Art. No. 088",
    month = "September",
    year = "2011",
    doi = "https://doi.org/10.3842/SIGMA.2011.088 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110929-113549134",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/24528,
    title ="On Algebraically Integrable Differential Operators on an Elliptic Curve",
    author = "Etingof, Pavel and Rains, Eric",
    journal = "Symmetry, Integrability and Geometry, Methods and Applications (SIGMA)",
    volume = "7",
    
    pages = "Art. No. 62",
    month = "July",
    year = "2011",
    doi = "https://doi.org/10.3842/SIGMA.2011.062",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20110725-113214387",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81813,
    title ="Elliptic Analogues of the Macdonald and Koornwinder Polynomials",
    author = "Rains, Eric M.",
    
    
    
    pages = "2530-2554",
    month = "January",
    year = "2011",
    doi = "https://doi.org/10.1142/9789814324359_0157",
    isbn = "9789814324304",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170925-124323959",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/37671,
    title ="Self cup products and the theta characteristic torsor",
    author = "Poonen, Bjorn and Rains, Eric",
    journal = "Mathematical Research Letters",
    volume = "18",
    number = "6",
    pages = "1305-1318",
    month = "January",
    year = "2011",
    doi = "https://doi.org/10.4310/MRL.2011.v18.n6.a18",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20130328-103531472",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/20971,
    title ="q-Distributions on boxed plane partitions",
    author = "Borodin, Alexei and Gorin, Vadim and Rains, Eric M.",
    journal = "Selecta Mathematica - New Series",
    volume = "16",
    number = "4",
    pages = "731-789",
    month = "December",
    year = "2010",
    doi = "https://doi.org/10.1007/s00029-010-0034-y",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20101123-092946208",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/19279,
    title ="The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points",
    author = "Etingof, Pavel and Henriques, André and Kamnitzer, Joel and Rains, Eric M.",
    journal = "Annals of Mathematics",
    volume = "171",
    number = "2",
    pages = "731-777",
    month = "March",
    year = "2010",
    doi = "https://doi.org/10.4007/annals.2010.171.731",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100804-142058742",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/18651,
    title ="Transformations of elliptic hypergeometric integrals",
    author = "Rains, Eric M.",
    journal = "Annals of Mathematics",
    volume = "171",
    number = "1",
    pages = "169-243",
    month = "January",
    year = "2010",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100611-112526706",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/21465,
    title ="The homology of real subspace arrangements",
    author = "Rains, Eric M.",
    journal = "Journal of Topology",
    volume = "3",
    number = "4",
    pages = "786-818",
    month = "January",
    year = "2010",
    doi = "https://doi.org/10.1112/jtopol/jtq027",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20101221-082008592",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/17990,
    title ="Determinants of elliptic hypergeometric integrals",
    author = "Rains, E. M. and Spiridonov, V. P.",
    journal = "Functional Analysis and its Applications",
    volume = "43",
    number = "4",
    pages = "297-311",
    month = "December",
    year = "2009",
    doi = "https://doi.org/10.1007/s10688-009-0037-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20100415-102226300",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/16024,
    title ="Matrix averages relating to Ginibre ensembles",
    author = "Forrester, Peter J. and Rains, Eric M.",
    journal = "Journal of Physics A: Mathematical and Theoretical",
    volume = "42",
    number = "38",
    pages = "Art. No. 385205",
    month = "September",
    year = "2009",
    doi = "https://doi.org/10.1088/1751-8113/42/38/385205  ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090923-143135904",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/15787,
    title ="Nonsymmetric interpolation macdonald polynomials and  gl_n basic hypergeometric series",
    author = "Lascoux, Alain and Rains, Eric M. and Warnaar, S. Ole",
    journal = "Transformation Groups",
    volume = "14",
    number = "3",
    pages = "613-647",
    month = "September",
    year = "2009",
    doi = "https://doi.org/10.1007/s00031-009-9061-1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090911-153557865",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/15634,
    title ="Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions",
    author = "van de Bult, Fokko J. and Rains, Eric M.",
    journal = "Symmetry, Integrability and Geometry, Methods and Applications (SIGMA)",
    volume = "5",
    number = "059",
    
    month = "June",
    year = "2009",
    doi = "https://doi.org/10.3842/SIGMA.2009.059",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090904-142309890",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/15992,
    title ="The action of S_n on the cohomology of M_(0,n)(R)",
    author = "Rains, Eric M.",
    journal = "Selecta Mathematica - New Series",
    volume = "15",
    number = "1",
    pages = "171-188",
    month = "June",
    year = "2009",
    doi = "https://doi.org/10.1007/s00029-008-0467-8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090922-113504889",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/14057,
    title ="Limits of elliptic hypergeometric integrals",
    author = "Rains, Eric M.",
    journal = "Ramanujan Journal",
    volume = "18",
    number = "3",
    pages = "257-306",
    month = "April",
    year = "2009",
    doi = "https://doi.org/10.1007/s11139-007-9055-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090423-141245409",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81812,
    title ="The Kruskal Count",
    author = "Lagarias, Jeffrey C. and Rains, Eric and Vanderbei, Robert J.",
    
    
    
    pages = "371-391",
    month = "January",
    year = "2009",
    doi = "https://doi.org/10.1007/978-3-540-79128-7_23",
    isbn = "978-3-540-79127-0",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170925-112254500",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82859,
    title ="New Deformations of Group Algebras of Coxeter Groups, II",
    author = "Etingof, Pavel and Rains, Eric",
    journal = "Geometric and Functional Analysis",
    volume = "17",
    number = "6",
    pages = "1851-1871",
    month = "March",
    year = "2008",
    doi = "https://doi.org/10.1007/s00039-007-0642-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171101-153438612",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/14541,
    title ="The cohomology of real De Concini–Procesi models of Coxeter type",
    author = "Henderson, Anthony and Rains, Eric",
    journal = "International Mathematics Research Notices",
    volume = "2008",
    
    pages = "Art. No. rnn001",
    month = "February",
    year = "2008",
    doi = "https://doi.org/10.1093/imrn/rnn001",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20090709-105804586",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81814,
    title ="Clifford-Weil groups of quotient representations",
    author = "Günther, Annika and Nebe, Gabriele and Rains, Eric M.",
    journal = "Albanian Journal of Mathematics",
    volume = "2",
    number = "3",
    pages = "159-169",
    month = "January",
    year = "2008",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170925-133038865",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81984,
    title ="Symmetrized Models of Last Passage Percolation and Non-Intersecting Lattice Paths",
    author = "Forrester, Peter J. and Rains, Eric M.",
    journal = "Journal of Statistical Physics",
    volume = "129",
    number = "5-6",
    pages = "833-855",
    month = "December",
    year = "2007",
    doi = "https://doi.org/10.1007/s10955-007-9413-y",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171003-095341751",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82256,
    title ="Vanishing Integrals of Macdonald and Koornwinder polynomials",
    author = "Rains, Eric M. and Vazirani, Monica",
    journal = "Transformation Groups",
    volume = "12",
    number = "4",
    pages = "725-759",
    month = "December",
    year = "2007",
    doi = "https://doi.org/10.1007/S00031-007-0058-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171010-113734662",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81988,
    title ="Properties of Generalized Univariate Hypergeometric Functions",
    author = "van de Bult, F. J. and Rains, E. M. and Stokman, J. V.",
    journal = "Communications in Mathematical Physics",
    volume = "275",
    number = "1",
    pages = "37-95",
    month = "October",
    year = "2007",
    doi = "https://doi.org/10.1007/s00220-007-0289-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171003-101141109",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82471,
    title ="Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces",
    author = "Etingof, Pavel and Oblomkov, Alexei and Rains, Eric",
    journal = "Advances in Mathematics",
    volume = "212",
    number = "2",
    pages = "749-796",
    month = "July",
    year = "2007",
    doi = "https://doi.org/10.1016/j.aim.2006.11.008",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171018-155901135",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82036,
    title ="On central extensions of preprojective algebras",
    author = "Etingof, Pavel and Latour, Frédéric and Rains, Eric",
    journal = "Journal of Algebra",
    volume = "313",
    number = "1",
    pages = "165-175",
    month = "July",
    year = "2007",
    doi = "https://doi.org/10.1016/j.jalgebra.2006.11.040",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171004-092059005",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81974,
    title ="Groups and Lie algebras corresponding to the Yang–Baxter equations",
    author = "Bartholdi, Laurent and Enriquez, Benjamin and Etingof, Pavel and Rains, Eric",
    journal = "Journal of Algebra",
    volume = "305",
    number = "2",
    pages = "742-764",
    month = "November",
    year = "2006",
    doi = "https://doi.org/10.1016/j.jalgebra.2005.12.006",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171002-155152258",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82726,
    title ="On the integrality of nth roots of generating functions",
    author = "Heninger, Nadia and Rains, E. M. and Sloane, N. J. A.",
    journal = "Journal of Combinatorial Theory. Series A",
    volume = "113",
    number = "8",
    pages = "1732-1745",
    month = "November",
    year = "2006",
    doi = "https://doi.org/10.1016/j.jcta.2006.03.018",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171027-091207506",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82255,
    title ="Quadratic transformations of Macdonald and Koornwinder polynomials",
    author = "Rains, Eric M. and Vazirani, Monica J.",
    
    
    
    
    month = "June",
    year = "2006",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171010-113111196",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81972,
    title ="Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups",
    author = "Etingof, Pavel and Rains, Eric",
    journal = "Journal of Algebra",
    volume = "299",
    number = "2",
    pages = "570-588",
    month = "May",
    year = "2006",
    doi = "https://doi.org/10.1016/j.jalgebra.2006.01.005",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171002-152707569",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83003,
    title ="Correlation functions for random involutions",
    author = "Forrester, Peter J. and Nagao, Taro and Rains, Eric M.",
    journal = "International Mathematics Research Notices",
    volume = "2006",
    
    pages = "Art. No. 89796",
    month = "January",
    year = "2006",
    doi = "https://doi.org/10.1155/IMRN/2006/89796",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171106-151415738",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83004,
    title ="Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices",
    author = "Forrester, Peter J. and Rains, Eric M.",
    journal = "International Mathematics Research Notices",
    volume = "2006",
    
    pages = "Art. No. 48306",
    month = "January",
    year = "2006",
    doi = "https://doi.org/10.1155/IMRN/2006/48306",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171106-151903451",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82253,
    title ="A difference-integral representation of Koornwinder polynomials",
    author = "Rains, Eric M.",
    
    
    number = "417",
    pages = "319-333",
    month = "January",
    year = "2006",
    doi = "https://doi.org/10.1090/conm/417/07929",
    isbn = "978-0-8218-3683-5",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171010-105435263",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82015,
    title ="BC_n-symmetric abelian functions",
    author = "Rains, Eric M.",
    journal = "Duke Mathematical Journal",
    volume = "135",
    number = "1",
    pages = "99-180",
    month = "January",
    year = "2006",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171003-154931716",
}
@book {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81942,
    title ="Self-Dual Codes and Invariant Theory",
    author = "Nebe, Gabriele and Rains, Eric M. and Sloane, Neil J. A.",
    
    volume = "17",
    
    
    month = "January",
    year = "2006",
    
    isbn = "978-3-540-30729-7",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171002-101719306",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81990,
    title ="Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs",
    author = "Borodin, Alexei and Rains, Eric M.",
    journal = "Journal of Statistical Physics",
    volume = "121",
    number = "3-4",
    pages = "291-317",
    month = "November",
    year = "2005",
    doi = "https://doi.org/10.1007/s10955-005-7583-z",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171003-102643862",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82226,
    title ="Recurrences for elliptic hypergeometric integrals",
    author = "Rains, Eric M.",
    
    
    
    
    month = "April",
    year = "2005",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171009-142453684",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81978,
    title ="BC_n-symmetric polynomials",
    author = "Rains, Eric M.",
    journal = "Transformation Groups",
    volume = "10",
    number = "1",
    pages = "63-132",
    month = "March",
    year = "2005",
    doi = "https://doi.org/10.1007/s00031-005-1003-y",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171002-161044221",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83002,
    title ="New deformations of group algebras of Coxeter groups",
    author = "Etingof, Pavel and Rains, Eric",
    journal = "International Mathematics Research Notices",
    volume = "2005",
    number = "10",
    pages = "635-646",
    month = "January",
    year = "2005",
    doi = "https://doi.org/10.1155/IMRN.2005.635",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171106-145535121",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82017,
    title ="Interpretations of some parameter dependent generalizations of classical matrix ensembles",
    author = "Forrester, Peter J. and Rains, Eric M.",
    journal = "Probability Theory and Related Fields",
    volume = "131",
    number = "1",
    pages = "1-61",
    month = "January",
    year = "2005",
    doi = "https://doi.org/10.1007/s00440-004-0375-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171003-160005064",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81890,
    title ="Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers",
    author = "Lagarias, Jeffrey C. and Rains, Eric",
    journal = "Journal of Difference Equations and Applications",
    volume = "11",
    number = "12",
    pages = "1089-1108",
    month = "January",
    year = "2005",
    doi = "https://doi.org/10.1080/10236190500273069",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170927-154918316",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81941,
    title ="Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles",
    author = "Lagarias, Jeffrey C. and Rains, Eric",
    journal = "Journal of Difference Equations and Applications",
    volume = "11",
    number = "13",
    pages = "1137-1163",
    month = "January",
    year = "2005",
    doi = "https://doi.org/10.1080/10236190500273127",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171002-100946430",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81940,
    title ="Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra",
    author = "Lagarias, Jeffrey C. and Rains, Eric",
    journal = "Journal of Difference Equations and Applications",
    volume = "11",
    number = "14",
    pages = "1205-1224",
    month = "January",
    year = "2005",
    doi = "https://doi.org/10.1080/10236190500273184",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171002-100214237",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81989,
    title ="Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter",
    author = "Forrester, Peter J. and Rains, Eric M.",
    journal = "Probability Theory and Related Fields",
    volume = "130",
    number = "4",
    pages = "518-576",
    month = "December",
    year = "2004",
    doi = "https://doi.org/10.1007/s00440-004-0374-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171003-102014270",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82035,
    title ="Codes and invariant theory",
    author = "Nebe, G. and Rains, E. M. and Sloane, N. J. A.",
    journal = "Mathematische Nachrichten",
    volume = "274-275",
    number = "1",
    pages = "104-116",
    month = "October",
    year = "2004",
    doi = "https://doi.org/10.1002/mana.200310204",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171004-091341996",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82034,
    title ="Complete weight enumerators of generalized doubly-even self-dual codes",
    author = "Nebe, Gabriele and Quebbemann, H.-G. and Rains, E. M. and Sloane, N. J. A.",
    journal = "Finite Fields and Their Applications",
    volume = "10",
    number = "4",
    pages = "540-550",
    month = "October",
    year = "2004",
    doi = "https://doi.org/10.1016/j.ffa.2003.12.001",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171004-090734197",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82252,
    title ="A logarithmic-depth quantum carry-lookahead adder",
    author = "Draper, Thomas G. and Kutin, Samuel A. and Rains, Eric M. and Svore, Krysta M.",
    
    
    
    
    month = "June",
    year = "2004",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171010-104601338",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81815,
    title ="On the involutions fixing the class of a lattice",
    author = "Quebbemann, H.-G. and Rains, E. M.",
    journal = "Journal of Number Theory",
    volume = "101",
    number = "1",
    pages = "185-194",
    month = "July",
    year = "2003",
    doi = "https://doi.org/10.1016/S0022-314X(03)00022-2",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170925-135839254",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81817,
    title ="New asymptotic bounds for self-dual codes and lattices",
    author = "Rains, Eric M.",
    journal = "IEEE Transactions on Information Theory",
    volume = "49",
    number = "5",
    pages = "1261-1274",
    month = "May",
    year = "2003",
    doi = "https://doi.org/10.1109/TIT.2003.810623",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170925-142327910",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82296,
    title ="On asymmetric coverings and covering numbers",
    author = "Applegate, David and Rains, E. M. and Sloane, N. J. A.",
    journal = "Journal of Combinatorial Designs",
    volume = "11",
    number = "3",
    pages = "218-228",
    month = "April",
    year = "2003",
    doi = "https://doi.org/10.1002/jcd.10022",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171011-152858004",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82994,
    title ="Images of eigenvalue distributions under power maps",
    author = "Rains, Eric M.",
    journal = "Probability Theory and Related Fields",
    volume = "125",
    number = "4",
    pages = "522-538",
    month = "April",
    year = "2003",
    doi = "https://doi.org/10.1007/s00440-002-0250-2",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171106-141427328",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82725,
    title ="On a two-variable zeta function for number fields",
    author = "Lagarias, Jeffrey C. and Rains, Eric",
    journal = "Annales de l'Institut Fourier",
    volume = "53",
    number = "1",
    pages = "1-68",
    month = "January",
    year = "2003",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171027-085620532",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83432,
    title ="Self-Dual Codes",
    author = "Rains, E. M. and Sloane, N. J. A.",
    
    
    
    
    month = "August",
    year = "2002",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171122-102726979",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81889,
    title ="The lattice of N-run orthogonal arrays",
    author = "Rains, E. M. and Sloane, N. J. A. and Stufken, John",
    journal = "Journal of Statistical Planning and Inference",
    volume = "102",
    number = "2",
    pages = "477-500",
    month = "April",
    year = "2002",
    doi = "https://doi.org/10.1016/S0378-3758(01)00119-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170927-153859292",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82295,
    title ="The EKG Sequence",
    author = "Lagarias, J. C. and Rains, E. M. and Sloane, N. J. A.",
    journal = "Experimental Mathematics",
    volume = "11",
    number = "3",
    pages = "437-446",
    month = "January",
    year = "2002",
    doi = "https://doi.org/10.1080/10586458.2002.10504486",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171011-152214607",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81981,
    title ="A Fredholm Determinant Identity and the Convergence of Moments for Random Young Tableaux",
    author = "Baik, Jinho and Deift, Percy and Rains, Eric",
    journal = "Communications in Mathematical Physics",
    volume = "223",
    number = "3",
    pages = "627-672",
    month = "November",
    year = "2001",
    doi = "https://doi.org/10.1007/s002200100555",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171003-074824665",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81816,
    title ="A semidefinite program for distillable entanglement",
    author = "Rains, Eric M.",
    journal = "IEEE Transactions on Information Theory",
    volume = "47",
    number = "7",
    pages = "2921-2933",
    month = "November",
    year = "2001",
    doi = "https://doi.org/10.1109/18.959270",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170925-141527816",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82998,
    title ="The Invariants of the Clifford Groups",
    author = "Nebe, Gabriele and Rains, E. M. and Sloane, N. J. A.",
    journal = "Designs, Codes and Cryptography",
    volume = "24",
    number = "1",
    pages = "99-122",
    month = "September",
    year = "2001",
    doi = "https://doi.org/10.1023/A:1011233615437",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171106-144248894",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81971,
    title ="Class Groups and Modular Lattices",
    author = "Rains, E. M.",
    journal = "Journal of Number Theory",
    volume = "88",
    number = "2",
    pages = "211-224",
    month = "June",
    year = "2001",
    doi = "https://doi.org/10.1006/jnth.2000.2633",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171002-152216783",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82025,
    title ="Algebraic aspects of increasing subsequences",
    author = "Baik, Jinho and Rains, Eric M.",
    journal = "Duke Mathematical Journal",
    volume = "109",
    number = "1",
    pages = "1-65",
    month = "January",
    year = "2001",
    doi = "https://doi.org/10.1215/S0012-7094-01-10911-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171004-073359453",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81827,
    title ="Interrelationships Between Orthogonal, Unitary and Symplectic Matrix Ensembles",
    author = "Forrester, Peter J. and Rains, Eric M.",
    
    
    number = "40",
    pages = "171-207",
    month = "January",
    year = "2001",
    
    isbn = "9780521802093",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170926-090553813",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81862,
    title ="Symmetrized Random Permutations",
    author = "Baik, Jinho and Rains, Eric M.",
    
    
    number = "40",
    pages = "1-19",
    month = "January",
    year = "2001",
    
    isbn = "9780521802093",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170926-160331200",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83005,
    title ="The asymptotics of monotone subsequences of involutions",
    author = "Rains, Eric M. and Baik, Jinho",
    journal = "Duke Mathematical Journal",
    volume = "109",
    number = "2",
    pages = "205-281",
    month = "January",
    year = "2001",
    doi = "https://doi.org/10.1215/S0012-7094-01-10921-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171106-152554249",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82254,
    title ="Limiting Distributions for a Polynuclear Growth Model with External Sources",
    author = "Baik, Jinho and Rains, Eric M.",
    journal = "Journal of Statistical Physics",
    volume = "100",
    number = "3-4",
    pages = "523-541",
    month = "August",
    year = "2000",
    doi = "https://doi.org/10.1023/A:1018615306992",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171010-105909686",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81888,
    title ="3-Colored 5-Designs and Z_4-Codes",
    author = "Bonnecaze, A. and Rains, E. and Solé, P.",
    journal = "Journal of Statistical Planning and Inference",
    volume = "86",
    number = "2",
    pages = "349-368",
    month = "May",
    year = "2000",
    doi = "https://doi.org/10.1016/S0378-3758(99)00117-2",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170927-153153707",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81985,
    title ="Bounds for Self-Dual Codes Over ℤ_4",
    author = "Rains, Eric",
    journal = "Finite Fields and Their Applications",
    volume = "6",
    number = "2",
    pages = "146-163",
    month = "April",
    year = "2000",
    doi = "https://doi.org/10.1006/ffta.1999.0258",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171003-100542142",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81856,
    title ="Polynomial invariants of quantum codes",
    author = "Rains, Eric M.",
    journal = "IEEE Transactions on Information Theory",
    volume = "46",
    number = "1",
    pages = "54-59",
    month = "January",
    year = "2000",
    doi = "https://doi.org/10.1109/18.817508 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170926-153330743",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/82239,
    title ="On longest increasing subsequences in random permutations",
    author = "Odlyzko, A. M. and Rains, E. M.",
    
    
    number = "251",
    pages = "439-451",
    month = "January",
    year = "2000",
    doi = "https://doi.org/10.1090/conm/251/03886",
    isbn = "978-0-8218-1148-1",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171009-160133131",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81832,
    title ="On the Existence of Similar Sublattices",
    author = "Conway, J. H. and Rains, E. M. and Sloane, N. J. A.",
    journal = "Canadian Journal of Mathematics",
    volume = "51",
    number = "6",
    pages = "1300-1306",
    month = "December",
    year = "1999",
    doi = "https://doi.org/10.4153/CJM-1999-059-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170926-102111766",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81842,
    title ="Monotonicity of the quantum linear programming bound",
    author = "Rains, Eric M.",
    journal = "IEEE Transactions on Information Theory",
    volume = "45",
    number = "7",
    pages = "2489-2492",
    month = "November",
    year = "1999",
    doi = "https://doi.org/10.1109/18.796387",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170926-133944519",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81850,
    title ="Quantum shadow enumerators",
    author = "Rains, Eric M.",
    journal = "IEEE Transactions on Information Theory",
    volume = "45",
    number = "7",
    pages = "2361-2366",
    month = "November",
    year = "1999",
    doi = "https://doi.org/10.1109/18.796376",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170926-145724451",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81849,
    title ="Nonbinary quantum codes",
    author = "Rains, Eric M.",
    journal = "IEEE Transactions on Information Theory",
    volume = "45",
    number = "6",
    pages = "1827-1832",
    month = "September",
    year = "1999",
    doi = "https://doi.org/10.1109/18.782103",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170926-145137075",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83014,
    title ="Optimal self-dual codes over ℤ_4",
    author = "Rains, Eric",
    journal = "Discrete Mathematics",
    volume = "203",
    number = "1-3",
    pages = "215-228",
    month = "May",
    year = "1999",
    doi = "https://doi.org/10.1016/S0012-365X(98)00358-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171107-074528830",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81983,
    title ="A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces",
    author = "Calderbank, A. R. and Hardin, R. H. and Rains, E. M. and Shor, P. W. and Sloane, N. J. A.",
    journal = "Journal of Algebraic Combinatorics",
    volume = "9",
    number = "2",
    pages = "129-140",
    month = "March",
    year = "1999",
    doi = "https://doi.org/10.1023/A:1018673825179",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171003-094225780",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81828,
    title ="Quantum nonlocality without entanglement",
    author = "Bennett, Charles H. and DiVincenzo, David P. and Fuchs, Christopher A. and Mor, Tal and Rains, Eric and Shor, Peter W. and Smolin, John A. and Wootters, William K.",
    journal = "Physical Review A",
    volume = "59",
    number = "2",
    pages = "1070-1091",
    month = "February",
    year = "1999",
    doi = "https://doi.org/10.1103/PhysRevA.59.1070",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170926-092107073",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81858,
    title ="On Cayley's Enumeration of Alkanes (or 4-Valent Trees)",
    author = "Rains, E. M. and Sloane, N. J. A.",
    journal = "Journal of Integer Sequences",
    volume = "2",
    
    pages = "Art. No. 99.1.1",
    month = "January",
    year = "1999",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170926-154926203",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81848,
    title ="Quantum codes of minimum distance two",
    author = "Rains, Eric M.",
    journal = "IEEE Transactions on Information Theory",
    volume = "45",
    number = "1",
    pages = "266-271",
    month = "January",
    year = "1999",
    doi = "https://doi.org/10.1109/18.746807",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170926-144218757",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81992,
    title ="The Shadow Theory of Modular and Unimodular Lattices",
    author = "Rains, E. M. and Sloane, N. J. A.",
    journal = "Journal of Number Theory",
    volume = "73",
    number = "2",
    pages = "359-389",
    month = "December",
    year = "1998",
    doi = "https://doi.org/10.1006/jnth.1998.2306",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171003-105923947",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83016,
    title ="Normal limit theorems for symmetric random matrices",
    author = "Rains, Eric M.",
    journal = "Probability Theory and Related Fields",
    volume = "112",
    number = "3",
    pages = "411-423",
    month = "November",
    year = "1998",
    doi = "https://doi.org/10.1007/s004400050195",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171107-075613066",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81821,
    title ="Quantum error correction via codes over GF(4)",
    author = "Calderbank, A. Robert and Rains, Eric M. and Shor, P. W. and Sloane, Neil J. A.",
    journal = "IEEE Transactions on Information Theory",
    volume = "44",
    number = "4",
    pages = "1369-1387",
    month = "July",
    year = "1998",
    doi = "https://doi.org/10.1109/18.681315",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170925-160358492",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81818,
    title ="Quantum weight enumerators",
    author = "Rains, Eric M.",
    journal = "IEEE Transactions on Information Theory",
    volume = "44",
    number = "4",
    pages = "1388-1394",
    month = "July",
    year = "1998",
    doi = "https://doi.org/10.1109/18.681316",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170925-154039545",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83341,
    title ="Rationals to and Only to Rationals: 10555",
    author = "Lagarias, Jeffrey C. and Rains, Eric M.",
    journal = "American Mathematical Monthly",
    volume = "105",
    number = "3",
    pages = "277-278",
    month = "March",
    year = "1998",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171120-110513579",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81867,
    title ="Shadow bounds for self-dual codes",
    author = "Rains, Eric M.",
    journal = "IEEE Transactions on Information Theory",
    volume = "44",
    number = "1",
    pages = "134-139",
    month = "January",
    year = "1998",
    doi = "https://doi.org/10.1109/18.651000",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170927-074638028",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81819,
    title ="Increasing Subsequences and the Classical Groups",
    author = "Rains, E. M.",
    journal = "Electronic Journal of Combinatorics",
    volume = "5",
    
    pages = "Art. No. R12",
    month = "January",
    year = "1998",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170925-154914546",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81820,
    title ="On Kissing Numbers in Dimensions 32 to 128",
    author = "Edel, Yves and Rains, E. M. and Sloane, N. J. A.",
    journal = "Electronic Journal of Combinatorics",
    volume = "5",
    
    pages = "Art. No. R22",
    month = "January",
    year = "1998",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170925-155652163",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83008,
    title ="Combinatorial Properties of Brownian Motion on the Compact Classical Groups",
    author = "Rains, E. M.",
    journal = "Journal of Theoretical Probability",
    volume = "10",
    number = "3",
    pages = "659-679",
    month = "July",
    year = "1997",
    doi = "https://doi.org/10.1023/A:1022601711176",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171106-161236257",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83015,
    title ="High powers of random elements of compact Lie groups",
    author = "Rains, E. M.",
    journal = "Probability Theory and Related Fields",
    volume = "107",
    number = "2",
    pages = "219-241",
    month = "February",
    year = "1997",
    doi = "https://doi.org/10.1007/s004400050084",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171107-075059031",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81831,
    title ="Quantum Error Correction and Orthogonal Geometry",
    author = "Calderbank, A. R. and Rains, E. M. and Shor, P. W. and Sloane, N. J. A.",
    journal = "Physical Review Letters",
    volume = "78",
    number = "3",
    pages = "405-408",
    month = "January",
    year = "1997",
    doi = "https://doi.org/10.1103/PhysRevLett.78.405",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170926-101535529",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/85319,
    title ="Problems: 10550-10556",
    author = "Robinson, Raphael M. and Goffinet, Daniel and Poonen, Bjorn and Propp, Jim and Stong, Richard and Lagarias, Jeffrey C. and Rains, Eric M. and Lewittes, Joseph and Lehman, Herbert H.",
    journal = "American Mathematical Monthly",
    volume = "103",
    number = "9",
    pages = "808-809",
    month = "November",
    year = "1996",
    doi = "https://doi.org/10.2307/2974454",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180315-070628395",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/85381,
    title ="Harmonic analysis of the relativistic string in spinorial coordinates",
    author = "Brown, Robert W. and Rains, Eric M. and Taylor, Cyrus C.",
    journal = "Classical and Quantum Gravity",
    volume = "8",
    number = "7",
    pages = "1245-1253",
    month = "July",
    year = "1991",
    doi = "https://doi.org/10.1088/0264-9381/8/7/003",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180320-123640344",
}