Edit Profile (opens in new tab) Rains, Eric M. Co-Author Distance Author ID: rains.eric-m Published as: Rains, Eric M.; Rains, Eric; Rains, E. M.; Rains, E. more...less Documents Indexed: 126 Publications since 1991, including 2 Books and 14 Additional arXiv Preprints Co-Authors: 71 Co-Authors with 88 Joint Publications 2,712 Co-Co-Authors all top 5 Co-Authors 38 single-authored 17 Sloane, Neil James Alexander 12 Etingof, Pavel Il’ich 8 Forrester, Peter J. 6 Lagarias, Jeffrey C. 6 Nebe, Gabriele 6 Warnaar, S. Ole 5 Baik, Jinho 5 Van de Bult, Fokko Joppe 4 Poonen, Bjorn 3 Calderbank, Arthur Robert 3 Ormerod, Christopher Michael 3 Shor, Peter Williston 2 Albion, Seamus P. 2 Borodin, Alexei 2 Nakamura, Akane 2 Quebbemann, Heinz-Georg 2 Sam, Steven V. 2 Vazirani, Monica J. 1 Applegate, David L. 1 Bartholdi, Laurent 1 Bhargava, Manjul 1 Bonnecaze, Alexis 1 Brown, Robert W. 1 Conway, John Horton 1 Deift, Percy A. 1 Draper, Travis G. 1 Edel, Yves 1 Enriquez, Benjamin 1 Feng, Tony 1 Garibaldi, Skip 1 Gorin, Vadim 1 Günther, Annika 1 Guralnick, Robert Michael 1 Hardin, Ronald H. 1 Henderson, Anthony 1 Heninger, Nadia 1 Henriques, André G. 1 Jordan, Bruce W. 1 Kalinov, Daniil 1 Kamnitzer, Joel 1 Kane, Daniel M. 1 Keeton, Allan G. 1 Klyuev, Daniil 1 Kutin, Samuel A. 1 Landesman, Aaron 1 Lascoux, Alain 1 Latour, Frédéric 1 Lee, Chulhee 1 Lenstra, Hendrik W. jun. 1 Nagao, Taro 1 Oblomkov, Alexei A. 1 Odlyzko, Andrew M. 1 Okun’kov, Andreĭ Yur’evich 1 Polishchuk, Alexander Evgen’evich 1 Rubin, Karl Cooper 1 Ruijsenaars, Simon N. M. 1 Scholl, Travis 1 Sharif, Shahed 1 Shepherd-Barron, Nicholas Ian 1 Silverberg, Alice 1 Solé, Patrick 1 Spiridonov, Vyacheslav Pavlovich 1 Stokman, Jasper V. 1 Stryker, Douglas 1 Stufken, John 1 Sun, Yi 1 Svore, Krysta M. 1 Tate, John Torrence jun. 1 Taylor, Cyrus Cooper 1 Vanderbei, Robert Joseph 1 Varchenko, Alexander Nikolaevich all top 5 Serials 10 IEEE Transactions on Information Theory 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Communications in Mathematical Physics 6 IMRN. International Mathematics Research Notices 5 Probability Theory and Related Fields 4 Transformation Groups 3 Journal of Statistical Physics 3 Duke Mathematical Journal 3 Journal of Algebra 3 Journal of Number Theory 3 Journal of Algebraic Combinatorics 3 Selecta Mathematica. New Series 3 Journal of Difference Equations and Applications 3 Algebra & Number Theory 2 Journal of Combinatorial Theory. Series A 2 Journal of Statistical Planning and Inference 2 Finite Fields and their Applications 2 The Electronic Journal of Combinatorics 2 Annals of Mathematics. Second Series 1 Classical and Quantum Gravity 1 Discrete Mathematics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Journal of Approximation Theory 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Journal of Theoretical Probability 1 Journal of the American Mathematical Society 1 Designs, Codes and Cryptography 1 Geometric and Functional Analysis. GAFA 1 Experimental Mathematics 1 Journal of Combinatorial Designs 1 Mathematical Research Letters 1 The Ramanujan Journal 1 Journal of Integer Sequences 1 Physical Review Letters 1 Algorithms and Computation in Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Topology 1 Albanian Journal of Mathematics 1 Quantum Information & Computation 1 Cambridge Journal of Mathematics 1 Algebraic Geometry 1 Journal of Integrable Systems all top 5 Fields 27 Special functions (33-XX) 24 Information and communication theory, circuits (94-XX) 22 Algebraic geometry (14-XX) 20 Combinatorics (05-XX) 17 Number theory (11-XX) 15 Probability theory and stochastic processes (60-XX) 14 Quantum theory (81-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Associative rings and algebras (16-XX) 11 Group theory and generalizations (20-XX) 7 Nonassociative rings and algebras (17-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Ordinary differential equations (34-XX) 6 Difference and functional equations (39-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Convex and discrete geometry (52-XX) 5 Operations research, mathematical programming (90-XX) 4 Operator theory (47-XX) 4 Statistics (62-XX) 3 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 2,580 times in 1,867 Documents Cited by ▼ Year ▼ Quantum error correction via codes over \(\mathrm{GF}(4)\). Zbl 0982.94029 Calderbank, A. Robert; Rains, Eric M.; Shor, P. W.; Sloane, Neil J. A. 466 1998 Self-dual codes. Zbl 0936.94017 Rains, Eric M.; Sloane, N. J. A. 126 1998 Quantum error correction and orthogonal geometry. Zbl 1005.94541 Calderbank, A. R.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A. 112 1997 Limiting distributions for a polynuclear growth model with external sources. Zbl 0976.82043 Baik, Jinho; Rains, Eric M. 103 2000 Eynard-Mehta theorem, Schur process, and their Pfaffian analogs. Zbl 1127.82017 Borodin, Alexei; Rains, Eric M. 98 2005 Nonbinary quantum codes. Zbl 0958.94038 Rains, Eric M. 87 1999 Shadow bounds for self-dual codes. Zbl 1053.94582 Rains, Eric M. 86 1998 Algebraic aspects of increasing subsequences. Zbl 1007.05096 Baik, Jinho; Rains, Eric M. 81 2001 Transformations of elliptic hypergeometric integrals. Zbl 1209.33014 Rains, Eric M. 80 2010 Self-dual codes and invariant theory. Zbl 1173.94447 Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A. 66 2006 The asymptotics of monotone subsequences of involutions. Zbl 1007.60003 Baik, Jinho; Rains, Eric M. 63 2001 \(q\)-distributions on boxed plane partitions. Zbl 1205.82122 Borodin, Alexei; Gorin, Vadim; Rains, Eric M. 58 2010 Symmetrized random permutations. Zbl 0989.60010 Baik, Jinho; Rains, Eric M. 56 2001 \(BC_n\)-symmetric abelian functions. Zbl 1101.33012 Rains, Eric M. 53 2006 The shadow theory of modular and unimodular lattices. Zbl 0917.11026 Rains, E. M.; Sloane, N. J. A. 43 1998 The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points. Zbl 1206.14051 Etingof, Pavel; Henriques, André; Kamnitzer, Joel; Rains, Eric M. 42 2010 Interpretations of some parameter dependent generalizations of classical matrix ensembles. Zbl 1056.05142 Forrester, Peter J.; Rains, Eric M. 41 2005 Random maximal isotropic subspaces and Selmer groups. Zbl 1294.11097 Poonen, Bjorn; Rains, Eric 40 2012 BC\(_n\)-symmetric polynomials. Zbl 1080.33018 Rains, Eric M. 39 2005 Limits of elliptic hypergeometric integrals. Zbl 1178.33021 Rains, Eric M. 38 2009 A semidefinite program for distillable entanglement. Zbl 0998.81012 Rains, Eric M. 35 2001 The invariants of the Clifford groups. Zbl 1002.11057 Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A. 28 2001 Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. Zbl 1329.14071 Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric 25 2015 A group-theoretic framework for the construction of packings in Grassmannian spaces. Zbl 0941.51033 Calderbank, A. R.; Hardin, R. H.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A. 24 1999 A logarithmic-depth quantum carry-lookahead adder. Zbl 1152.81708 Draper, T. G.; Kutin, S. A.; Rains, E. M.; Svore, K. M. 24 2006 Properties of generalized univariate hypergeometric functions. Zbl 1144.33007 van de Bult, F. J.; Rains, E. M.; Stokman, J. V. 23 2007 Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces. Zbl 1118.14003 Etingof, Pavel; Oblomkov, Alexei; Rains, Eric 22 2007 Groups and Lie algebras corresponding to the Yang-Baxter equations. Zbl 1169.17004 Bartholdi, Laurent; Enriquez, Benjamin; Etingof, Pavel; Rains, Eric 22 2006 Increasing subsequences and the classical groups. Zbl 0885.05112 Rains, E. M. 21 1998 High powers of random elements of compact Lie groups. Zbl 0868.60012 Rains, E. M. 20 1997 Combinatorial properties of Brownian motion on the compact classical groups. Zbl 1002.60504 Rains, E. M. 20 1997 Deformations of permutation representations of Coxeter groups. Zbl 1277.20042 Rains, Eric M.; Vazirani, Monica J. 20 2013 Interrelationships between orthogonal, unitary and symplectic matrix ensembles. Zbl 0987.15004 Forrester, Peter J.; Rains, Eric M. 19 2001 Bounded Littlewood identities. Zbl 1467.05001 Rains, Eric M.; Warnaar, S. Ole 19 2021 Quantum weight enumerators. Zbl 0982.94030 Rains, Eric M. 16 1998 On longest increasing subsequences in random permutations. Zbl 0966.60010 Odlyzko, A. M.; Rains, E. M. 15 2000 Polynomial invariants of quantum codes. Zbl 1002.94047 Rains, Eric M. 14 2000 Multivariate quadratic transformations and the interpolation kernel. Zbl 1387.33027 Rains, Eric M. 14 2018 Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups. Zbl 1171.16007 Etingof, Pavel; Rains, Eric 14 2006 Elliptic Littlewood identities. Zbl 1263.33011 Rains, Eric M. 13 2012 The homology of real subspace arrangements. Zbl 1213.14102 Rains, Eric M. 13 2010 Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices. Zbl 1117.15026 Forrester, Peter J.; Rains, Eric M. 12 2006 Vanishing integrals of Macdonald and Koornwinder polynomials. Zbl 1202.33027 Rains, Eric M.; Vazirani, Monica 12 2007 Basic hypergeometric functions as limits of elliptic hypergeometric functions. Zbl 1188.33025 Van De Bult, Fokko J.; Rains, Eric M. 12 2009 3-colored 5-designs and \(\mathbb{Z}_4\)-codes. Zbl 0974.05009 Bonnecaze, A.; Rains, E.; Solé, P. 12 2000 Determinants of elliptic hypergeometric integrals. Zbl 1193.33201 Rains, E. M.; Spiridonov, V. P. 12 2009 Dynamics of a family of piecewise-linear area-preserving plane maps. I. Rational rotation numbers. Zbl 1082.37044 Lagarias, Jeffrey C.; Rains, Eric 12 2005 Optimal self-dual codes over \(\mathbb{Z}_4\). Zbl 1097.94525 Rains, Eric 11 1999 New deformations of group algebras of Coxeter groups. Zbl 1099.20019 Etingof, Pavel; Rains, Eric 11 2005 Quantum codes of minimum distance two. Zbl 0947.94027 Rains, Eric M. 10 1999 Complete weight enumerators of generalized doubly-even self-dual codes. Zbl 1107.94013 Nebe, Gabriele; Quebbemann, H.-G.; Rains, E. M.; Sloane, N. J. A. 10 2004 Matrix averages relating to Ginibre ensembles. Zbl 1196.15035 Forrester, Peter J.; Rains, Eric M. 10 2009 A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026 Baik, Jinho; Deift, Percy; Rains, Eric 10 2001 Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter. Zbl 1101.82013 Forrester, Peter J.; Rains, Eric M. 10 2004 An isomonodromy interpretation of the hypergeometric solution of the elliptic Painlevé equation (and generalizations). Zbl 1244.33018 Rains, Eric M. 10 2011 Images of eigenvalue distributions under power maps. Zbl 1068.60014 Rains, Eric M. 10 2003 On a two-variable zeta function for number fields. Zbl 1106.11036 Lagarias, Jeffrey C.; Rains, Eric 9 2003 Codes and invariant theory. Zbl 1077.94024 Nebe, G.; Rains, E. M.; Sloane, N. J. A. 9 2004 Quantum shadow enumerators. Zbl 0956.94027 Rains, Eric M. 8 1999 A Fuchsian matrix differential equation for Selberg correlation integrals. Zbl 1245.82030 Forrester, Peter J.; Rains, Eric M. 8 2012 The action of \(S_n\) on the cohomology of \(\overline{M}_{0,n}(\mathbb{R})\). Zbl 1223.14030 Rains, Eric M. 8 2009 Correlation functions for random involutions. Zbl 1113.60015 Forrester, Peter J.; Nagao, Taro; Rains, Eric M. 8 2006 Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles. Zbl 1082.37045 Lagarias, Jeffrey C.; Rains, Eric 8 2005 Difference operators of Sklyanin and van Diejen type. Zbl 1282.16029 Rains, Eric; Ruijsenaars, Simon 8 2013 Self cup products and the theta characteristic torsor. Zbl 1297.18005 Poonen, Bjorn; Rains, Eric 8 2011 Symmetrized models of last passage percolation and non-intersecting lattice paths. Zbl 1136.82022 Forrester, Peter J.; Rains, Eric M. 7 2007 On the integrality of \(n\)th roots of generating functions. Zbl 1203.94138 Heninger, Nadia; Rains, E. M.; Sloane, N. J. A. 7 2006 A Nekrasov-Okounkov formula for Macdonald polynomials. Zbl 1396.05013 Rains, Eric M.; Warnaar, S. Ole 7 2018 Abelian varieties isogenous to a power of an elliptic curve. Zbl 1400.14116 Jordan, Bruce W.; Keeton, Allan G.; Poonen, Bjorn; Rains, Eric M.; Shepherd-Barron, Nicholas; Tate, John T. 7 2018 Nonsymmetric interpolation Macdonald polynomials and \({\mathfrak {gl}}_n\) basic hypergeometric series. Zbl 1179.33027 Lascoux, Alain; Rains, Eric M.; Warnaar, S. Ole 6 2009 An elliptic Garnier system. Zbl 1394.39001 Ormerod, Chris M.; Rains, Eric M. 6 2017 On asymmetric coverings and covering numbers. Zbl 1013.05024 Applegate, David; Rains, E. M.; Sloane, N. J. A. 6 2003 Bounds for self-dual codes over \(\mathbb{Z}_4\). Zbl 1011.94030 Rains, Eric 5 2000 The lattice of \(N\)-run orthogonal arrays. Zbl 0989.62041 Rains, E. M.; Sloane, N. J. A.; Stufken, John 5 2002 A simple construction for the Barnes-Wall lattices. Zbl 1039.94532 Nebe, G.; Rains, E. M.; Sloane, N. J. A. 5 2002 New asymptotic bounds for self-dual codes and lattices. Zbl 1063.94123 Rains, Eric M. 5 2003 Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra. Zbl 1082.37046 Lagarias, Jeffrey C.; Rains, Eric 5 2005 On Cohen-Macaulayness of algebras generated by generalized power sums. With an appendix by Misha Feigin. Zbl 1357.13016 Etingof, Pavel; Rains, Eric 5 2016 Commutation relations and discrete garnier systems. Zbl 1351.39004 Ormerod, Christopher M.; Rains, Eric M. 5 2016 Limits of elliptic hypergeometric biorthogonal functions. Zbl 1316.33007 van de Bult, Fokko J.; Rains, Eric M. 5 2015 New deformations of group algebras of Coxeter groups. II. Zbl 1148.20027 Etingof, Pavel; Rains, Eric 4 2008 On Cayley’s enumeration of alkanes (or 4-valent trees). Zbl 0999.05053 Rains, E. M.; Sloane, N. J. A. 4 1999 On algebraically integrable differential operators on an elliptic curve. Zbl 1247.37045 Etingof, Pavel; Rains, Eric 4 2011 Noncommutative geometry and Painlevé equations. Zbl 1329.14012 Okounkov, Andrei; Rains, Eric 4 2015 The cohomology of real De Concini-Procesi models of Coxeter type. Zbl 1153.14011 Henderson, Anthony; Rains, Eric 4 2008 Elliptic double affine Hecke algebras. Zbl 1508.20006 Rains, Eric M. 4 2020 A difference-integral representation of Koornwinder polynomials. Zbl 1132.33332 Rains, Eric M. 3 2006 On kissing numbers in dimensions 32 to 128. Zbl 0901.52019 Edel, Yves; Rains, E. M.; Sloane, N. J. A. 3 1998 An elliptic hypergeometric function approach to branching rules. Zbl 1462.05351 Lee, Chul-Hee; Rains, Eric M.; Warnaar, S. Ole 3 2020 Invariant theory of \(\bigwedge^3(9)\) and genus-2 curves. Zbl 1405.15035 Rains, Eric M.; Sam, Steven V. 3 2018 On the existence of similar sublattices. Zbl 0963.52006 Conway, J. H.; Rains, E. M.; Sloane, N. J. A. 2 1999 Elliptic analogues of the Macdonald and Koornwinder polynomials. Zbl 1245.33017 Rains, Eric M. 2 2011 Class groups and modular lattices. Zbl 0998.11017 Rains, E. M. 2 2001 Normal limit theorems for symmetric random matrices. Zbl 0919.15007 Rains, Eric M. 2 1998 The EKG sequence. Zbl 1117.11302 Lagarias, J. C.; Rains, E. M.; Sloane, N. J. A. 2 2002 AFLT-type Selberg integrals. Zbl 1483.33007 Albion, Seamus P.; Rains, Eric M.; Warnaar, S. Ole 2 2021 A symmetric difference-differential Lax pair for Painlevé VI. Zbl 1404.34105 Ormerod, Christopher M.; Rains, Eric 2 2017 Twisted traces and positive forms on quantized Kleinian singularities of type A. Zbl 1491.53093 Etingof, Pavel; Klyuev, Daniil; Rains, Eric; Stryker, Douglas 2 2021 On central extensions of preprojective algebras. Zbl 1181.16013 Etingof, Pavel; Latour, Frédéric; Rains, Eric 1 2007 Monotonicity of the quantum linear programming bound. Zbl 0960.94040 Rains, Eric M. 1 1999 New realizations of deformed double current algebras and Deligne categories. Zbl 1521.17023 Etingof, P.; Kalinov, D.; Rains, E. 1 2023 Bounded Littlewood identities. Zbl 1467.05001 Rains, Eric M.; Warnaar, S. Ole 19 2021 AFLT-type Selberg integrals. Zbl 1483.33007 Albion, Seamus P.; Rains, Eric M.; Warnaar, S. Ole 2 2021 Twisted traces and positive forms on quantized Kleinian singularities of type A. Zbl 1491.53093 Etingof, Pavel; Klyuev, Daniil; Rains, Eric; Stryker, Douglas 2 2021 Elliptic double affine Hecke algebras. Zbl 1508.20006 Rains, Eric M. 4 2020 An elliptic hypergeometric function approach to branching rules. Zbl 1462.05351 Lee, Chul-Hee; Rains, Eric M.; Warnaar, S. Ole 3 2020 Multivariate quadratic transformations and the interpolation kernel. Zbl 1387.33027 Rains, Eric M. 14 2018 A Nekrasov-Okounkov formula for Macdonald polynomials. Zbl 1396.05013 Rains, Eric M.; Warnaar, S. Ole 7 2018 Abelian varieties isogenous to a power of an elliptic curve. Zbl 1400.14116 Jordan, Bruce W.; Keeton, Allan G.; Poonen, Bjorn; Rains, Eric M.; Shepherd-Barron, Nicholas; Tate, John T. 7 2018 Invariant theory of \(\bigwedge^3(9)\) and genus-2 curves. Zbl 1405.15035 Rains, Eric M.; Sam, Steven V. 3 2018 Affine Macdonald conjectures and special values of Felder-Varchenko functions. Zbl 1431.33017 Rains, Eric M.; Sun, Yi; Varchenko, Alexander 1 2018 An elliptic Garnier system. Zbl 1394.39001 Ormerod, Chris M.; Rains, Eric M. 6 2017 A symmetric difference-differential Lax pair for Painlevé VI. Zbl 1404.34105 Ormerod, Christopher M.; Rains, Eric 2 2017 On Cohen-Macaulayness of algebras generated by generalized power sums. With an appendix by Misha Feigin. Zbl 1357.13016 Etingof, Pavel; Rains, Eric 5 2016 Commutation relations and discrete garnier systems. Zbl 1351.39004 Ormerod, Christopher M.; Rains, Eric M. 5 2016 Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. Zbl 1329.14071 Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric 25 2015 Limits of elliptic hypergeometric biorthogonal functions. Zbl 1316.33007 van de Bult, Fokko J.; Rains, Eric M. 5 2015 Noncommutative geometry and Painlevé equations. Zbl 1329.14012 Okounkov, Andrei; Rains, Eric 4 2015 Deformations of permutation representations of Coxeter groups. Zbl 1277.20042 Rains, Eric M.; Vazirani, Monica J. 20 2013 Difference operators of Sklyanin and van Diejen type. Zbl 1282.16029 Rains, Eric; Ruijsenaars, Simon 8 2013 Random maximal isotropic subspaces and Selmer groups. Zbl 1294.11097 Poonen, Bjorn; Rains, Eric 40 2012 Elliptic Littlewood identities. Zbl 1263.33011 Rains, Eric M. 13 2012 A Fuchsian matrix differential equation for Selberg correlation integrals. Zbl 1245.82030 Forrester, Peter J.; Rains, Eric M. 8 2012 An isomonodromy interpretation of the hypergeometric solution of the elliptic Painlevé equation (and generalizations). Zbl 1244.33018 Rains, Eric M. 10 2011 Self cup products and the theta characteristic torsor. Zbl 1297.18005 Poonen, Bjorn; Rains, Eric 8 2011 On algebraically integrable differential operators on an elliptic curve. Zbl 1247.37045 Etingof, Pavel; Rains, Eric 4 2011 Elliptic analogues of the Macdonald and Koornwinder polynomials. Zbl 1245.33017 Rains, Eric M. 2 2011 Transformations of elliptic hypergeometric integrals. Zbl 1209.33014 Rains, Eric M. 80 2010 \(q\)-distributions on boxed plane partitions. Zbl 1205.82122 Borodin, Alexei; Gorin, Vadim; Rains, Eric M. 58 2010 The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points. Zbl 1206.14051 Etingof, Pavel; Henriques, André; Kamnitzer, Joel; Rains, Eric M. 42 2010 The homology of real subspace arrangements. Zbl 1213.14102 Rains, Eric M. 13 2010 Limits of elliptic hypergeometric integrals. Zbl 1178.33021 Rains, Eric M. 38 2009 Basic hypergeometric functions as limits of elliptic hypergeometric functions. Zbl 1188.33025 Van De Bult, Fokko J.; Rains, Eric M. 12 2009 Determinants of elliptic hypergeometric integrals. Zbl 1193.33201 Rains, E. M.; Spiridonov, V. P. 12 2009 Matrix averages relating to Ginibre ensembles. Zbl 1196.15035 Forrester, Peter J.; Rains, Eric M. 10 2009 The action of \(S_n\) on the cohomology of \(\overline{M}_{0,n}(\mathbb{R})\). Zbl 1223.14030 Rains, Eric M. 8 2009 Nonsymmetric interpolation Macdonald polynomials and \({\mathfrak {gl}}_n\) basic hypergeometric series. Zbl 1179.33027 Lascoux, Alain; Rains, Eric M.; Warnaar, S. Ole 6 2009 New deformations of group algebras of Coxeter groups. II. Zbl 1148.20027 Etingof, Pavel; Rains, Eric 4 2008 The cohomology of real De Concini-Procesi models of Coxeter type. Zbl 1153.14011 Henderson, Anthony; Rains, Eric 4 2008 Clifford-Weil groups of quotient representations. Zbl 1210.94111 Günther, Annika; Nebe, Gabriele; Rains, Eric M. 1 2008 Properties of generalized univariate hypergeometric functions. Zbl 1144.33007 van de Bult, F. J.; Rains, E. M.; Stokman, J. V. 23 2007 Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces. Zbl 1118.14003 Etingof, Pavel; Oblomkov, Alexei; Rains, Eric 22 2007 Vanishing integrals of Macdonald and Koornwinder polynomials. Zbl 1202.33027 Rains, Eric M.; Vazirani, Monica 12 2007 Symmetrized models of last passage percolation and non-intersecting lattice paths. Zbl 1136.82022 Forrester, Peter J.; Rains, Eric M. 7 2007 On central extensions of preprojective algebras. Zbl 1181.16013 Etingof, Pavel; Latour, Frédéric; Rains, Eric 1 2007 Self-dual codes and invariant theory. Zbl 1173.94447 Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A. 66 2006 \(BC_n\)-symmetric abelian functions. Zbl 1101.33012 Rains, Eric M. 53 2006 A logarithmic-depth quantum carry-lookahead adder. Zbl 1152.81708 Draper, T. G.; Kutin, S. A.; Rains, E. M.; Svore, K. M. 24 2006 Groups and Lie algebras corresponding to the Yang-Baxter equations. Zbl 1169.17004 Bartholdi, Laurent; Enriquez, Benjamin; Etingof, Pavel; Rains, Eric 22 2006 Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups. Zbl 1171.16007 Etingof, Pavel; Rains, Eric 14 2006 Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices. Zbl 1117.15026 Forrester, Peter J.; Rains, Eric M. 12 2006 Correlation functions for random involutions. Zbl 1113.60015 Forrester, Peter J.; Nagao, Taro; Rains, Eric M. 8 2006 On the integrality of \(n\)th roots of generating functions. Zbl 1203.94138 Heninger, Nadia; Rains, E. M.; Sloane, N. J. A. 7 2006 A difference-integral representation of Koornwinder polynomials. Zbl 1132.33332 Rains, Eric M. 3 2006 Eynard-Mehta theorem, Schur process, and their Pfaffian analogs. Zbl 1127.82017 Borodin, Alexei; Rains, Eric M. 98 2005 Interpretations of some parameter dependent generalizations of classical matrix ensembles. Zbl 1056.05142 Forrester, Peter J.; Rains, Eric M. 41 2005 BC\(_n\)-symmetric polynomials. Zbl 1080.33018 Rains, Eric M. 39 2005 Dynamics of a family of piecewise-linear area-preserving plane maps. I. Rational rotation numbers. Zbl 1082.37044 Lagarias, Jeffrey C.; Rains, Eric 12 2005 New deformations of group algebras of Coxeter groups. Zbl 1099.20019 Etingof, Pavel; Rains, Eric 11 2005 Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles. Zbl 1082.37045 Lagarias, Jeffrey C.; Rains, Eric 8 2005 Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra. Zbl 1082.37046 Lagarias, Jeffrey C.; Rains, Eric 5 2005 Complete weight enumerators of generalized doubly-even self-dual codes. Zbl 1107.94013 Nebe, Gabriele; Quebbemann, H.-G.; Rains, E. M.; Sloane, N. J. A. 10 2004 Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter. Zbl 1101.82013 Forrester, Peter J.; Rains, Eric M. 10 2004 Codes and invariant theory. Zbl 1077.94024 Nebe, G.; Rains, E. M.; Sloane, N. J. A. 9 2004 Images of eigenvalue distributions under power maps. Zbl 1068.60014 Rains, Eric M. 10 2003 On a two-variable zeta function for number fields. Zbl 1106.11036 Lagarias, Jeffrey C.; Rains, Eric 9 2003 On asymmetric coverings and covering numbers. Zbl 1013.05024 Applegate, David; Rains, E. M.; Sloane, N. J. A. 6 2003 New asymptotic bounds for self-dual codes and lattices. Zbl 1063.94123 Rains, Eric M. 5 2003 The lattice of \(N\)-run orthogonal arrays. Zbl 0989.62041 Rains, E. M.; Sloane, N. J. A.; Stufken, John 5 2002 A simple construction for the Barnes-Wall lattices. Zbl 1039.94532 Nebe, G.; Rains, E. M.; Sloane, N. J. A. 5 2002 The EKG sequence. Zbl 1117.11302 Lagarias, J. C.; Rains, E. M.; Sloane, N. J. A. 2 2002 Algebraic aspects of increasing subsequences. Zbl 1007.05096 Baik, Jinho; Rains, Eric M. 81 2001 The asymptotics of monotone subsequences of involutions. Zbl 1007.60003 Baik, Jinho; Rains, Eric M. 63 2001 Symmetrized random permutations. Zbl 0989.60010 Baik, Jinho; Rains, Eric M. 56 2001 A semidefinite program for distillable entanglement. Zbl 0998.81012 Rains, Eric M. 35 2001 The invariants of the Clifford groups. Zbl 1002.11057 Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A. 28 2001 Interrelationships between orthogonal, unitary and symplectic matrix ensembles. Zbl 0987.15004 Forrester, Peter J.; Rains, Eric M. 19 2001 A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026 Baik, Jinho; Deift, Percy; Rains, Eric 10 2001 Class groups and modular lattices. Zbl 0998.11017 Rains, E. M. 2 2001 Limiting distributions for a polynuclear growth model with external sources. Zbl 0976.82043 Baik, Jinho; Rains, Eric M. 103 2000 On longest increasing subsequences in random permutations. Zbl 0966.60010 Odlyzko, A. M.; Rains, E. M. 15 2000 Polynomial invariants of quantum codes. Zbl 1002.94047 Rains, Eric M. 14 2000 3-colored 5-designs and \(\mathbb{Z}_4\)-codes. Zbl 0974.05009 Bonnecaze, A.; Rains, E.; Solé, P. 12 2000 Bounds for self-dual codes over \(\mathbb{Z}_4\). Zbl 1011.94030 Rains, Eric 5 2000 Nonbinary quantum codes. Zbl 0958.94038 Rains, Eric M. 87 1999 A group-theoretic framework for the construction of packings in Grassmannian spaces. Zbl 0941.51033 Calderbank, A. R.; Hardin, R. H.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A. 24 1999 Optimal self-dual codes over \(\mathbb{Z}_4\). Zbl 1097.94525 Rains, Eric 11 1999 Quantum codes of minimum distance two. Zbl 0947.94027 Rains, Eric M. 10 1999 Quantum shadow enumerators. Zbl 0956.94027 Rains, Eric M. 8 1999 On Cayley’s enumeration of alkanes (or 4-valent trees). Zbl 0999.05053 Rains, E. M.; Sloane, N. J. A. 4 1999 On the existence of similar sublattices. Zbl 0963.52006 Conway, J. H.; Rains, E. M.; Sloane, N. J. A. 2 1999 Monotonicity of the quantum linear programming bound. Zbl 0960.94040 Rains, Eric M. 1 1999 Quantum error correction via codes over \(\mathrm{GF}(4)\). Zbl 0982.94029 Calderbank, A. Robert; Rains, Eric M.; Shor, P. W.; Sloane, Neil J. A. 466 1998 Self-dual codes. Zbl 0936.94017 Rains, Eric M.; Sloane, N. J. A. 126 1998 Shadow bounds for self-dual codes. Zbl 1053.94582 Rains, Eric M. 86 1998 The shadow theory of modular and unimodular lattices. Zbl 0917.11026 Rains, E. M.; Sloane, N. J. A. 43 1998 Increasing subsequences and the classical groups. Zbl 0885.05112 Rains, E. M. 21 1998 Quantum weight enumerators. Zbl 0982.94030 Rains, Eric M. 16 1998 On kissing numbers in dimensions 32 to 128. Zbl 0901.52019 Edel, Yves; Rains, E. M.; Sloane, N. J. A. 3 1998 Normal limit theorems for symmetric random matrices. Zbl 0919.15007 Rains, Eric M. 2 1998 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,050 Authors 45 Harada, Masaaki 45 Rains, Eric M. 42 Forrester, Peter J. 37 Li, Ruihu 34 Zhu, Shixin 30 Ferrari, Patrik Lino 29 Borodin, Alexei 29 Dougherty, Steven T. 26 Spiridonov, Vyacheslav Pavlovich 25 Solé, Patrick 23 Kaya, Abidin 20 Kai, Xiaoshan 19 Corwin, Ivan Z. 19 Kim, Jon-Lark 18 Korban, Adrian 18 Yildiz, Bahattin 17 Sasamoto, Tomohiro 16 Liu, Xiusheng 15 Gao, Jian 15 Gildea, Joe 15 Liu, Yang 15 Warnaar, S. Ole 14 Dinh, Hai Quang 14 Nebe, Gabriele 13 Gulliver, Thomas Aaron 13 Munemasa, Akihiro 12 Imamura, Takashi 12 La Guardia, Giuliano Gadioli 12 Marberg, Eric 12 Ol’shanskiĭ, Grigoriĭ Iosifovich 12 Petrov, Leonid 12 Prakash, Om 11 Aydin, Nuh 11 Bag, Tushar 11 Betea, Dan 11 Etingof, Pavel Il’ich 11 Fu, Fangwei 11 Gorin, Vadim 11 Katori, Makoto 11 Sun, Zhonghua 11 Upadhyay, Ashish Kumar 10 Abualrub, Taher A. 10 Baik, Jinho 10 Gaiffi, Giovanni 10 Guo, Guanmin 10 Hernando, Fernando 10 Islam, Habibul 10 Johansson, Kurt 10 Mohammad, Ghulam 10 Oura, Manabu 10 Parker, Matthew Geoffrey 10 Remenik, Daniel 10 Wang, Junli 9 Adler, Mark 9 Ashraf, Mohammad 9 Cao, Yonglin 9 Gaborit, Philippe 9 Galindo Pastor, Carlos 9 Jitman, Somphong 9 Lee, Yoonjin 9 Liu, Hualu 9 Razamat, Shlomo S. 9 Shi, Minjia 9 van Moerbeke, Pierre 8 Fei, Shaoming 8 Grassl, Markus 8 Guo, Luobin 8 Le Doussal, Pierre 8 Ling, San 8 Lu, Liangdong 8 Ma, Yuena 8 Noumi, Masatoshi 8 Quastel, Jeremy 8 Ruano, Diego 8 Sharma, Anuradha 8 Tylyshchak, Alexander A. 7 Barraquand, Guillaume 7 Fulman, Jason E. 7 Han, Sunghyu 7 Hu, Peng 7 Kitazume, Masaaki 7 Lv, Jingjie 7 Matsumoto, Ryutaroh 7 Qian, Jianfa 7 Şahinkaya, Serap 7 Sarkissian, Gor 7 Sloane, Neil James Alexander 7 Tang, Chunming 7 Tonchev, Vladimir D. 7 Wilde, Mark M. 7 Zhedanov, Alexei S. 6 Alahmadi, Adel N. 6 Ardehali, Arash Arabi 6 Basu, Riddhipratim 6 Bombín, Héctor 6 Bouyuklieva, Stefka 6 Calderbank, Arthur Robert 6 Cao, Yuan 6 Chen, Jianzhang 6 Chen, Xiaojing ...and 1,950 more Authors all top 5 Cited in 257 Serials 164 Quantum Information Processing 90 Designs, Codes and Cryptography 76 Communications in Mathematical Physics 75 Finite Fields and their Applications 57 Discrete Mathematics 57 Journal of High Energy Physics 49 International Journal of Theoretical Physics 46 Journal of Mathematical Physics 46 Journal of Physics A: Mathematical and Theoretical 43 Journal of Statistical Physics 40 International Journal of Quantum Information 39 Advances in Mathematics 36 Journal of Combinatorial Theory. 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Second Series 4 Physica D 4 Constructive Approximation 4 Journal of the American Mathematical Society 4 Forum Mathematicum 4 Journal of Knot Theory and its Ramifications 4 Journal of the European Mathematical Society (JEMS) 4 International Journal of Number Theory 4 Algebra & Number Theory 4 Korean Journal of Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Physica A 3 Physics Reports 3 Problems of Information Transmission 3 Reports on Mathematical Physics 3 Bulletin of the London Mathematical Society 3 Functional Analysis and its Applications 3 Inventiones Mathematicae ...and 157 more Serials all top 5 Cited in 58 Fields 669 Information and communication theory, circuits (94-XX) 628 Quantum theory (81-XX) 340 Probability theory and stochastic processes (60-XX) 317 Number theory (11-XX) 269 Combinatorics (05-XX) 221 Statistical mechanics, structure of matter (82-XX) 193 Special functions (33-XX) 189 Linear and multilinear algebra; matrix theory (15-XX) 130 Algebraic geometry (14-XX) 126 Group theory and generalizations (20-XX) 85 Associative rings and algebras (16-XX) 61 Nonassociative rings and algebras (17-XX) 48 Computer science (68-XX) 46 Dynamical systems and ergodic theory (37-XX) 35 Partial differential equations (35-XX) 30 Ordinary differential equations (34-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 29 Statistics (62-XX) 28 Operator theory (47-XX) 27 Difference and functional equations (39-XX) 27 Convex and discrete geometry (52-XX) 24 Commutative algebra (13-XX) 22 Numerical analysis (65-XX) 21 Topological groups, Lie groups (22-XX) 21 Functional analysis (46-XX) 20 Manifolds and cell complexes (57-XX) 20 Relativity and gravitational theory (83-XX) 16 Differential geometry (53-XX) 16 Algebraic topology (55-XX) 16 Operations research, mathematical programming (90-XX) 14 Functions of a complex variable (30-XX) 13 Category theory; homological algebra (18-XX) 12 Approximations and expansions (41-XX) 12 Geometry (51-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Field theory and polynomials (12-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of particles and systems (70-XX) 7 General and overarching topics; collections (00-XX) 7 Abstract harmonic analysis (43-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Biology and other natural sciences (92-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 4 History and biography (01-XX) 4 Mathematical logic and foundations (03-XX) 4 \(K\)-theory (19-XX) 4 Measure and integration (28-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Potential theory (31-XX) 3 Systems theory; control (93-XX) 2 General algebraic systems (08-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year