@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", }