<h1>Rains, Eric</h1>
<h2>Article from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2>
<ul>
<li>Feng, Tony and Landesman, Aaron, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220919-81452600">The geometric distribution of Selmer groups of elliptic curves over function fields</a>; Mathematische Annalen; <a href="https://doi.org/10.1007/s00208-022-02429-1">10.1007/s00208-022-02429-1</a></li>
<li>Etingof, P. and Kalinov, D., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220726-997340000">New realizations of deformed double current algebras and Deligne categories</a>; Transformation Groups; <a href="https://doi.org/10.1007/s00031-022-09717-9">10.1007/s00031-022-09717-9</a></li>
<li>Albion, Seamus P. and Rains, Eric M., el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20211110-164135228">AFLT-type Selberg integrals</a>; Communications in Mathematical Physics; Vol. 388; No. 2; 735-791; <a href="https://doi.org/10.1007/s00220-021-04157-0">10.1007/s00220-021-04157-0</a></li>
<li>Nakamura, Akane and Rains, Eric (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20211217-98152000">Uniqueness of Polarization for the Autonomous 4-dimensional Painlevé-type Systems</a>; International Mathematics Research Notices; Vol. 2021; No. 18; 14204-14219; <a href="https://doi.org/10.1093/imrn/rnaa037">10.1093/imrn/rnaa037</a></li>
<li>Etingof, Pavel and Klyuev, Daniil, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210602-134422197">Twisted Traces and Positive Forms on Quantized Kleinian Singularities of Type A</a>; Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 17; Art. No. 29; <a href="https://doi.org/10.3842/sigma.2021.029">10.3842/sigma.2021.029</a></li>
<li>Lee, Chul-hee and Rains, Eric M., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210122-141416267">An Elliptic Hypergeometric Function Approach to Branching Rules</a>; Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 16; Art. No. 142; <a href="https://doi.org/10.3842/sigma.2020.142">10.3842/sigma.2020.142</a></li>
<li>Rains, Eric M. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170922-134529235">Elliptic Double Affine Hecke Algebras</a>; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 16; Art. No. 111; <a href="https://doi.org/10.3842/SIGMA.2020.111">10.3842/SIGMA.2020.111</a></li>
<li>Rains, Eric M. and Warnaar, S. Ole (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170922-130437528">A Nekrasov–Okounkov formula for Macdonald polynomials</a>; Journal of Algebraic Combinatorics; Vol. 48; No. 1; 1-30; <a href="https://doi.org/10.1007/s10801-017-0790-2">10.1007/s10801-017-0790-2</a></li>
<li>Rains, Eric M. and Sam, Steven V. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170922-135107001">Invariant theory of ⋀^3(9) and genus 2 curves</a>; Algebra and Number Theory; Vol. 12; No. 4; 935-957; <a href="https://doi.org/10.2140/ant.2018.12.935">10.2140/ant.2018.12.935</a></li>
<li>Jordan, Bruce W. and Keeton, Allan G., el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170922-140322875">Abelian varieties isogenous to a power of an elliptic curve</a>; Compositio Mathematica; Vol. 154; No. 5; 934-959; <a href="https://doi.org/10.1112/S0010437X17007990">10.1112/S0010437X17007990</a></li>
<li>Rains, Eric M. and Sun, Yi, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170607-102914977">Affine Macdonald conjectures and special values of Felder–Varchenko functions</a>; Selecta Mathematica - New Series; Vol. 24; No. 2; 1549-1591; <a href="https://doi.org/10.1007/s00029-017-0328-4">10.1007/s00029-017-0328-4</a></li>
<li>Rains, Eric M. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170922-141735253">Multivariate quadratic transformations and the interpolation kernel</a>; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 14; Art. No. 019; <a href="https://doi.org/10.3842/SIGMA.2018.019">10.3842/SIGMA.2018.019</a></li>
<li>Ormerod, Chris M. and Rains, Eric M. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170725-124624205">An Elliptic Garnier System</a>; Communications in Mathematical Physics; Vol. 355; No. 2; 741-766; <a href="https://doi.org/10.1007/s00220-017-2934-6">10.1007/s00220-017-2934-6</a></li>
<li>Ormerod, Christopher M. and Rains, Eric (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171120-085000823">A symmetric difference-differential Lax pair for Painlevé VI</a>; Journal of Integrable Systems; Vol. 2; No. 1; 1-20; <a href="https://doi.org/10.1093/integr/xyx003">10.1093/integr/xyx003</a></li>
<li>Ormerod, Christopher M. and Rains, Eric M. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161215-111704158">Commutation Relations and Discrete Garnier Systems</a>; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 12; Art. No. 110; <a href="https://doi.org/10.3842/SIGMA.2016.110">10.3842/SIGMA.2016.110</a></li>
<li>Etingof, Pavel and Rains, Eric (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161006-112242015">On Cohen–Macaulayness of Algebras Generated by Generalized Power Sums</a>; Communications in Mathematical Physics; Vol. 347; No. 1; 163-182; <a href="https://doi.org/10.1007/s00220-016-2657-0">10.1007/s00220-016-2657-0</a></li>
<li>Okounkov, Andrei and Rains, Eric (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151016-074552683">Noncommutative geometry and Painlevé equations</a>; Algebra and Number Theory; Vol. 9; No. 6; 1363-1400; <a href="https://doi.org/10.2140/ant.2015.9.1363">10.2140/ant.2015.9.1363</a></li>
<li>Bhargava, Manjul and Kane, Daniel M., el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151119-085554759">Modeling the distribution of ranks, Selmer groups, and Shafarevich–Tate groups of elliptic curves</a>; Cambridge Journal of Mathematics; Vol. 3; No. 3; 275-321; <a href="https://doi.org/10.4310/CJM.2015.v3.n3.a1">10.4310/CJM.2015.v3.n3.a1</a></li>
<li>van de Bult, Fokko J. and Rains, Eric M. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150501-080444288">Limits of elliptic hypergeometric biorthogonal functions</a>; Journal of Approximation Theory; Vol. 193; 128-163; <a href="https://doi.org/10.1016/j.jat.2014.06.009">10.1016/j.jat.2014.06.009</a></li>
<li>Rains, Eric and Ruijsenaars, Simon (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130723-114503880">Difference Operators of Sklyanin and van Diejen Type</a>; Communications in Mathematical Physics; Vol. 320; No. 3; 851-889; <a href="https://doi.org/10.1007/s00220-013-1692-3">10.1007/s00220-013-1692-3</a></li>
<li>Rains, Eric M. and Vazirani, Monica J. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130426-134058196">Deformations of permutation representations of Coxeter groups</a>; Journal of Algebraic Combinatorics; Vol. 37; No. 3; 455-502; <a href="https://doi.org/10.1007/s10801-012-0371-3">10.1007/s10801-012-0371-3</a></li>
<li>Rains, Eric M. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120730-134423880">Elliptic Littlewood identities</a>; Journal of Combinatorial Theory. Series A; Vol. 119; No. 7; 1558-1609; <a href="https://doi.org/10.1016/j.jcta.2012.03.001">10.1016/j.jcta.2012.03.001</a></li>
<li>Forrester, Peter J. and Rains, Eric M. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120314-084236569">A Fuchsian Matrix Differential Equation for Selberg Correlation Integrals</a>; Communications in Mathematical Physics; Vol. 309; No. 3; 771-792; <a href="https://doi.org/10.1007/s00220-011-1305-y">10.1007/s00220-011-1305-y</a></li>
<li>Poonen, Bjorn and Rains, Eric (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111207-112922811">Random maximal isotropic subspaces and Selmer groups</a>; Journal of the American Mathematical Society; Vol. 25; No. 1; 245-269; <a href="https://doi.org/10.1090/S0894-0347-2011-00710-8">10.1090/S0894-0347-2011-00710-8</a></li>
<li>Rains, Eric M. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110929-113549134">An Isomonodromy Interpretation of the Hypergeometric Solution of the Elliptic Painlevé Equation (and Generalizations)</a>; Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 7; Art. No. 088; <a href="https://doi.org/10.3842/SIGMA.2011.088">10.3842/SIGMA.2011.088</a></li>
<li>Etingof, Pavel and Rains, Eric (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110725-113214387">On Algebraically Integrable Differential Operators on an Elliptic Curve</a>; Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 7; Art. No. 62; <a href="https://doi.org/10.3842/SIGMA.2011.062">10.3842/SIGMA.2011.062</a></li>
<li>Poonen, Bjorn and Rains, Eric (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130328-103531472">Self cup products and the theta characteristic torsor</a>; Mathematical Research Letters; Vol. 18; No. 6; 1305-1318; <a href="https://doi.org/10.4310/MRL.2011.v18.n6.a18">10.4310/MRL.2011.v18.n6.a18</a></li>
<li>Borodin, Alexei and Gorin, Vadim, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101123-092946208">q-Distributions on boxed plane partitions</a>; Selecta Mathematica - New Series; Vol. 16; No. 4; 731-789; <a href="https://doi.org/10.1007/s00029-010-0034-y">10.1007/s00029-010-0034-y</a></li>
<li>Etingof, Pavel and Henriques, André, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100804-142058742">The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points</a>; Annals of Mathematics; Vol. 171; No. 2; 731-777; <a href="https://doi.org/10.4007/annals.2010.171.731">10.4007/annals.2010.171.731</a></li>
<li>Rains, Eric M. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100611-112526706">Transformations of elliptic hypergeometric integrals</a>; Annals of Mathematics; Vol. 171; No. 1; 169-243; <a href="https://doi.org/10.4007/annals.2010.171.169">10.4007/annals.2010.171.169</a></li>
<li>Rains, Eric M. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101221-082008592">The homology of real subspace arrangements</a>; Journal of Topology; Vol. 3; No. 4; 786-818; <a href="https://doi.org/10.1112/jtopol/jtq027">10.1112/jtopol/jtq027</a></li>
<li>Rains, E. M. and Spiridonov, V. P. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100415-102226300">Determinants of elliptic hypergeometric integrals</a>; Functional Analysis and its Applications; Vol. 43; No. 4; 297-311; <a href="https://doi.org/10.1007/s10688-009-0037-7">10.1007/s10688-009-0037-7</a></li>
<li>Forrester, Peter J. and Rains, Eric M. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090923-143135904">Matrix averages relating to Ginibre ensembles</a>; Journal of Physics A: Mathematical and Theoretical; Vol. 42; No. 38; Art. No. 385205; <a href="https://doi.org/10.1088/1751-8113/42/38/385205">10.1088/1751-8113/42/38/385205</a></li>
<li>Lascoux, Alain and Rains, Eric M., el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090911-153557865">Nonsymmetric interpolation macdonald polynomials and  gl_n basic hypergeometric series</a>; Transformation Groups; Vol. 14; No. 3; 613-647; <a href="https://doi.org/10.1007/s00031-009-9061-1">10.1007/s00031-009-9061-1</a></li>
<li>van de Bult, Fokko J. and Rains, Eric M. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090904-142309890">Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions</a>; Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 5; No. 059; <a href="https://doi.org/10.3842/SIGMA.2009.059">10.3842/SIGMA.2009.059</a></li>
<li>Rains, Eric M. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090922-113504889">The action of S_n on the cohomology of M_(0,n)(R)</a>; Selecta Mathematica - New Series; Vol. 15; No. 1; 171-188; <a href="https://doi.org/10.1007/s00029-008-0467-8">10.1007/s00029-008-0467-8</a></li>
<li>Rains, Eric M. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090423-141245409">Limits of elliptic hypergeometric integrals</a>; Ramanujan Journal; Vol. 18; No. 3; 257-306; <a href="https://doi.org/10.1007/s11139-007-9055-3">10.1007/s11139-007-9055-3</a></li>
<li>Etingof, Pavel and Rains, Eric (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171101-153438612">New Deformations of Group Algebras of Coxeter Groups, II</a>; Geometric and Functional Analysis; Vol. 17; No. 6; 1851-1871; <a href="https://doi.org/10.1007/s00039-007-0642-7">10.1007/s00039-007-0642-7</a></li>
<li>Henderson, Anthony and Rains, Eric (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090709-105804586">The cohomology of real De Concini–Procesi models of Coxeter type</a>; International Mathematics Research Notices; Vol. 2008; Art. No. rnn001; <a href="https://doi.org/10.1093/imrn/rnn001">10.1093/imrn/rnn001</a></li>
<li>Günther, Annika and Nebe, Gabriele, el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170925-133038865">Clifford-Weil groups of quotient representations</a>; Albanian Journal of Mathematics; Vol. 2; No. 3; 159-169</li>
<li>Forrester, Peter J. and Rains, Eric M. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171003-095341751">Symmetrized Models of Last Passage Percolation and Non-Intersecting Lattice Paths</a>; Journal of Statistical Physics; Vol. 129; No. 5-6; 833-855; <a href="https://doi.org/10.1007/s10955-007-9413-y">10.1007/s10955-007-9413-y</a></li>
<li>Rains, Eric M. and Vazirani, Monica (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171010-113734662">Vanishing Integrals of Macdonald and Koornwinder polynomials</a>; Transformation Groups; Vol. 12; No. 4; 725-759; <a href="https://doi.org/10.1007/S00031-007-0058-3">10.1007/S00031-007-0058-3</a></li>
<li>van de Bult, F. J. and Rains, E. M., el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171003-101141109">Properties of Generalized Univariate Hypergeometric Functions</a>; Communications in Mathematical Physics; Vol. 275; No. 1; 37-95; <a href="https://doi.org/10.1007/s00220-007-0289-0">10.1007/s00220-007-0289-0</a></li>
<li>Etingof, Pavel and Oblomkov, Alexei, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171018-155901135">Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces</a>; Advances in Mathematics; Vol. 212; No. 2; 749-796; <a href="https://doi.org/10.1016/j.aim.2006.11.008">10.1016/j.aim.2006.11.008</a></li>
<li>Etingof, Pavel and Latour, Frédéric, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171004-092059005">On central extensions of preprojective algebras</a>; Journal of Algebra; Vol. 313; No. 1; 165-175; <a href="https://doi.org/10.1016/j.jalgebra.2006.11.040">10.1016/j.jalgebra.2006.11.040</a></li>
<li>Bartholdi, Laurent and Enriquez, Benjamin, el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171002-155152258">Groups and Lie algebras corresponding to the Yang–Baxter equations</a>; Journal of Algebra; Vol. 305; No. 2; 742-764; <a href="https://doi.org/10.1016/j.jalgebra.2005.12.006">10.1016/j.jalgebra.2005.12.006</a></li>
<li>Heninger, Nadia and Rains, E. M., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171027-091207506">On the integrality of nth roots of generating functions</a>; Journal of Combinatorial Theory. Series A; Vol. 113; No. 8; 1732-1745; <a href="https://doi.org/10.1016/j.jcta.2006.03.018">10.1016/j.jcta.2006.03.018</a></li>
<li>Etingof, Pavel and Rains, Eric (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171002-152707569">Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups</a>; Journal of Algebra; Vol. 299; No. 2; 570-588; <a href="https://doi.org/10.1016/j.jalgebra.2006.01.005">10.1016/j.jalgebra.2006.01.005</a></li>
<li>Forrester, Peter J. and Rains, Eric M. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171106-151903451">Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices</a>; International Mathematics Research Notices; Vol. 2006; Art. No. 48306; <a href="https://doi.org/10.1155/IMRN/2006/48306">10.1155/IMRN/2006/48306</a></li>
<li>Forrester, Peter J. and Nagao, Taro, el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171106-151415738">Correlation functions for random involutions</a>; International Mathematics Research Notices; Vol. 2006; Art. No. 89796; <a href="https://doi.org/10.1155/IMRN/2006/89796">10.1155/IMRN/2006/89796</a></li>
<li>Rains, Eric M. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171003-154931716">BC_n-symmetric abelian functions</a>; Duke Mathematical Journal; Vol. 135; No. 1; 99-180; <a href="https://doi.org/10.48550/arXiv.0402113">10.48550/arXiv.0402113</a></li>
<li>Borodin, Alexei and Rains, Eric M. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171003-102643862">Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs</a>; Journal of Statistical Physics; Vol. 121; No. 3-4; 291-317; <a href="https://doi.org/10.1007/s10955-005-7583-z">10.1007/s10955-005-7583-z</a></li>
<li>Rains, Eric M. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171002-161044221">BC_n-symmetric polynomials</a>; Transformation Groups; Vol. 10; No. 1; 63-132; <a href="https://doi.org/10.1007/s00031-005-1003-y">10.1007/s00031-005-1003-y</a></li>
<li>Etingof, Pavel and Rains, Eric (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171106-145535121">New deformations of group algebras of Coxeter groups</a>; International Mathematics Research Notices; Vol. 2005; No. 10; 635-646; <a href="https://doi.org/10.1155/IMRN.2005.635">10.1155/IMRN.2005.635</a></li>
<li>Forrester, Peter J. and Rains, Eric M. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171003-160005064">Interpretations of some parameter dependent generalizations of classical matrix ensembles</a>; Probability Theory and Related Fields; Vol. 131; No. 1; 1-61; <a href="https://doi.org/10.1007/s00440-004-0375-6">10.1007/s00440-004-0375-6</a></li>
<li>Lagarias, Jeffrey C. and Rains, Eric (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170927-154918316">Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers</a>; Journal of Difference Equations and Applications; Vol. 11; No. 12; 1089-1108; <a href="https://doi.org/10.1080/10236190500273069">10.1080/10236190500273069</a></li>
<li>Lagarias, Jeffrey C. and Rains, Eric (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171002-100214237">Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra</a>; Journal of Difference Equations and Applications; Vol. 11; No. 14; 1205-1224; <a href="https://doi.org/10.1080/10236190500273184">10.1080/10236190500273184</a></li>
<li>Lagarias, Jeffrey C. and Rains, Eric (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171002-100946430">Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles</a>; Journal of Difference Equations and Applications; Vol. 11; No. 13; 1137-1163; <a href="https://doi.org/10.1080/10236190500273127">10.1080/10236190500273127</a></li>
<li>Forrester, Peter J. and Rains, Eric M. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171003-102014270">Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter</a>; Probability Theory and Related Fields; Vol. 130; No. 4; 518-576; <a href="https://doi.org/10.1007/s00440-004-0374-7">10.1007/s00440-004-0374-7</a></li>
<li>Nebe, Gabriele and Quebbemann, H.-G., el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171004-090734197">Complete weight enumerators of generalized doubly-even self-dual codes</a>; Finite Fields and Their Applications; Vol. 10; No. 4; 540-550; <a href="https://doi.org/10.1016/j.ffa.2003.12.001">10.1016/j.ffa.2003.12.001</a></li>
<li>Nebe, G. and Rains, E. M., el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171004-091341996">Codes and invariant theory</a>; Mathematische Nachrichten; Vol. 274-275; No. 1; 104-116; <a href="https://doi.org/10.1002/mana.200310204">10.1002/mana.200310204</a></li>
<li>Quebbemann, H.-G. and Rains, E. M. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170925-135839254">On the involutions fixing the class of a lattice</a>; Journal of Number Theory; Vol. 101; No. 1; 185-194; <a href="https://doi.org/10.1016/S0022-314X(03)00022-2">10.1016/S0022-314X(03)00022-2</a></li>
<li>Rains, Eric M. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170925-142327910">New asymptotic bounds for self-dual codes and lattices</a>; IEEE Transactions on Information Theory; Vol. 49; No. 5; 1261-1274; <a href="https://doi.org/10.1109/TIT.2003.810623">10.1109/TIT.2003.810623</a></li>
<li>Applegate, David and Rains, E. M., el al. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171011-152858004">On asymmetric coverings and covering numbers</a>; Journal of Combinatorial Designs; Vol. 11; No. 3; 218-228; <a href="https://doi.org/10.1002/jcd.10022">10.1002/jcd.10022</a></li>
<li>Rains, Eric M. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171106-141427328">Images of eigenvalue distributions under power maps</a>; Probability Theory and Related Fields; Vol. 125; No. 4; 522-538; <a href="https://doi.org/10.1007/s00440-002-0250-2">10.1007/s00440-002-0250-2</a></li>
<li>Lagarias, Jeffrey C. and Rains, Eric (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171027-085620532">On a two-variable zeta function for number fields</a>; Annales de l'Institut Fourier; Vol. 53; No. 1; 1-68</li>
<li>Rains, E. M. and Sloane, N. J. A., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170927-153859292">The lattice of N-run orthogonal arrays</a>; Journal of Statistical Planning and Inference; Vol. 102; No. 2; 477-500; <a href="https://doi.org/10.1016/S0378-3758(01)00119-7">10.1016/S0378-3758(01)00119-7</a></li>
<li>Lagarias, J. C. and Rains, E. M., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171011-152214607">The EKG Sequence</a>; Experimental Mathematics; Vol. 11; No. 3; 437-446; <a href="https://doi.org/10.1080/10586458.2002.10504486">10.1080/10586458.2002.10504486</a></li>
<li>Baik, Jinho and Deift, Percy, el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171003-074824665">A Fredholm Determinant Identity and the Convergence of Moments for Random Young Tableaux</a>; Communications in Mathematical Physics; Vol. 223; No. 3; 627-672; <a href="https://doi.org/10.1007/s002200100555">10.1007/s002200100555</a></li>
<li>Rains, Eric M. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170925-141527816">A semidefinite program for distillable entanglement</a>; IEEE Transactions on Information Theory; Vol. 47; No. 7; 2921-2933; <a href="https://doi.org/10.1109/18.959270">10.1109/18.959270</a></li>
<li>Nebe, Gabriele and Rains, E. M., el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171106-144248894">The Invariants of the Clifford Groups</a>; Designs, Codes and Cryptography; Vol. 24; No. 1; 99-122; <a href="https://doi.org/10.1023/A:1011233615437">10.1023/A:1011233615437</a></li>
<li>Rains, E. M. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171002-152216783">Class Groups and Modular Lattices</a>; Journal of Number Theory; Vol. 88; No. 2; 211-224; <a href="https://doi.org/10.1006/jnth.2000.2633">10.1006/jnth.2000.2633</a></li>
<li>Baik, Jinho and Rains, Eric M. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171004-073359453">Algebraic aspects of increasing subsequences</a>; Duke Mathematical Journal; Vol. 109; No. 1; 1-65; <a href="https://doi.org/10.1215/S0012-7094-01-10911-3">10.1215/S0012-7094-01-10911-3</a></li>
<li>Rains, Eric M. and Baik, Jinho (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171106-152554249">The asymptotics of monotone subsequences of involutions</a>; Duke Mathematical Journal; Vol. 109; No. 2; 205-281; <a href="https://doi.org/10.1215/S0012-7094-01-10921-6">10.1215/S0012-7094-01-10921-6</a></li>
<li>Baik, Jinho and Rains, Eric M. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171010-105909686">Limiting Distributions for a Polynuclear Growth Model with External Sources</a>; Journal of Statistical Physics; Vol. 100; No. 3-4; 523-541; <a href="https://doi.org/10.1023/A:1018615306992">10.1023/A:1018615306992</a></li>
<li>Bonnecaze, A. and Rains, E., el al. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170927-153153707">3-Colored 5-Designs and Z_4-Codes</a>; Journal of Statistical Planning and Inference; Vol. 86; No. 2; 349-368; <a href="https://doi.org/10.1016/S0378-3758(99)00117-2">10.1016/S0378-3758(99)00117-2</a></li>
<li>Rains, Eric (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171003-100542142">Bounds for Self-Dual Codes Over ℤ_4</a>; Finite Fields and Their Applications; Vol. 6; No. 2; 146-163; <a href="https://doi.org/10.1006/ffta.1999.0258">10.1006/ffta.1999.0258</a></li>
<li>Rains, Eric M. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170926-153330743">Polynomial invariants of quantum codes</a>; IEEE Transactions on Information Theory; Vol. 46; No. 1; 54-59; <a href="https://doi.org/10.1109/18.817508">10.1109/18.817508</a></li>
<li>Conway, J. H. and Rains, E. M., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170926-102111766">On the Existence of Similar Sublattices</a>; Canadian Journal of Mathematics; Vol. 51; No. 6; 1300-1306; <a href="https://doi.org/10.4153/CJM-1999-059-5">10.4153/CJM-1999-059-5</a></li>
<li>Rains, Eric M. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170926-145724451">Quantum shadow enumerators</a>; IEEE Transactions on Information Theory; Vol. 45; No. 7; 2361-2366; <a href="https://doi.org/10.1109/18.796376">10.1109/18.796376</a></li>
<li>Rains, Eric M. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170926-133944519">Monotonicity of the quantum linear programming bound</a>; IEEE Transactions on Information Theory; Vol. 45; No. 7; 2489-2492; <a href="https://doi.org/10.1109/18.796387">10.1109/18.796387</a></li>
<li>Rains, Eric M. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170926-145137075">Nonbinary quantum codes</a>; IEEE Transactions on Information Theory; Vol. 45; No. 6; 1827-1832; <a href="https://doi.org/10.1109/18.782103">10.1109/18.782103</a></li>
<li>Rains, Eric (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171107-074528830">Optimal self-dual codes over ℤ_4</a>; Discrete Mathematics; Vol. 203; No. 1-3; 215-228; <a href="https://doi.org/10.1016/S0012-365X(98)00358-6">10.1016/S0012-365X(98)00358-6</a></li>
<li>Calderbank, A. R. and Hardin, R. H., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171003-094225780">A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces</a>; Journal of Algebraic Combinatorics; Vol. 9; No. 2; 129-140; <a href="https://doi.org/10.1023/A:1018673825179">10.1023/A:1018673825179</a></li>
<li>Bennett, Charles H. and DiVincenzo, David P., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170926-092107073">Quantum nonlocality without entanglement</a>; Physical Review A; Vol. 59; No. 2; 1070-1091; <a href="https://doi.org/10.1103/PhysRevA.59.1070">10.1103/PhysRevA.59.1070</a></li>
<li>Rains, E. M. and Sloane, N. J. A. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170926-154926203">On Cayley's Enumeration of Alkanes (or 4-Valent Trees)</a>; Journal of Integer Sequences; Vol. 2; Art. No. 99.1.1; <a href="https://doi.org/10.48550/arXiv.0207176">10.48550/arXiv.0207176</a></li>
<li>Rains, Eric M. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170926-144218757">Quantum codes of minimum distance two</a>; IEEE Transactions on Information Theory; Vol. 45; No. 1; 266-271; <a href="https://doi.org/10.1109/18.746807">10.1109/18.746807</a></li>
<li>Rains, E. M. and Sloane, N. J. A. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171003-105923947">The Shadow Theory of Modular and Unimodular Lattices</a>; Journal of Number Theory; Vol. 73; No. 2; 359-389; <a href="https://doi.org/10.1006/jnth.1998.2306">10.1006/jnth.1998.2306</a></li>
<li>Rains, Eric M. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171107-075613066">Normal limit theorems for symmetric random matrices</a>; Probability Theory and Related Fields; Vol. 112; No. 3; 411-423; <a href="https://doi.org/10.1007/s004400050195">10.1007/s004400050195</a></li>
<li>Rains, Eric M. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170925-154039545">Quantum weight enumerators</a>; IEEE Transactions on Information Theory; Vol. 44; No. 4; 1388-1394; <a href="https://doi.org/10.1109/18.681316">10.1109/18.681316</a></li>
<li>Calderbank, A. Robert and Rains, Eric M., el al. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170925-160358492">Quantum error correction via codes over GF(4)</a>; IEEE Transactions on Information Theory; Vol. 44; No. 4; 1369-1387; <a href="https://doi.org/10.1109/18.681315">10.1109/18.681315</a></li>
<li>Lagarias, Jeffrey C. and Rains, Eric M. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171120-110513579">Rationals to and Only to Rationals: 10555</a>; American Mathematical Monthly; Vol. 105; No. 3; 277-278</li>
<li>Rains, Eric M. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170927-074638028">Shadow bounds for self-dual codes</a>; IEEE Transactions on Information Theory; Vol. 44; No. 1; 134-139; <a href="https://doi.org/10.1109/18.651000">10.1109/18.651000</a></li>
<li>Edel, Yves and Rains, E. M., el al. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170925-155652163">On Kissing Numbers in Dimensions 32 to 128</a>; Electronic Journal of Combinatorics; Vol. 5; Art. No. R22</li>
<li>Rains, E. M. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170925-154914546">Increasing Subsequences and the Classical Groups</a>; Electronic Journal of Combinatorics; Vol. 5; Art. No. R12</li>
<li>Rains, E. M. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171106-161236257">Combinatorial Properties of Brownian Motion on the Compact Classical Groups</a>; Journal of Theoretical Probability; Vol. 10; No. 3; 659-679; <a href="https://doi.org/10.1023/A:1022601711176">10.1023/A:1022601711176</a></li>
<li>Rains, E. M. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20171107-075059031">High powers of random elements of compact Lie groups</a>; Probability Theory and Related Fields; Vol. 107; No. 2; 219-241; <a href="https://doi.org/10.1007/s004400050084">10.1007/s004400050084</a></li>
<li>Calderbank, A. R. and Rains, E. M., el al. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170926-101535529">Quantum Error Correction and Orthogonal Geometry</a>; Physical Review Letters; Vol. 78; No. 3; 405-408; <a href="https://doi.org/10.1103/PhysRevLett.78.405">10.1103/PhysRevLett.78.405</a></li>
<li>Robinson, Raphael M. and Goffinet, Daniel, el al. (1996) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180315-070628395">Problems: 10550-10556</a>; American Mathematical Monthly; Vol. 103; No. 9; 808-809; <a href="https://doi.org/10.2307/2974454">10.2307/2974454</a></li>
<li>Brown, Robert W. and Rains, Eric M., el al. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180320-123640344">Harmonic analysis of the relativistic string in spinorial coordinates</a>; Classical and Quantum Gravity; Vol. 8; No. 7; 1245-1253; <a href="https://doi.org/10.1088/0264-9381/8/7/003">10.1088/0264-9381/8/7/003</a></li>
</ul>