Albion, Seamus P.; Rains, Eric M. et al.
(2021)
AFLT-type Selberg integrals
Communications in Mathematical Physics;
Vol.
388;
No.
2;
Nakamura, Akane; Rains, Eric
(2021)
Uniqueness of Polarization for the Autonomous 4-dimensional Painlevé-type Systems
International Mathematics Research Notices;
Vol.
2021;
No.
18;
Etingof, Pavel; Klyuev, Daniil et al.
(2021)
Twisted Traces and Positive Forms on Quantized Kleinian Singularities of Type A
Symmetry, Integrability and Geometry, Methods and Applications (SIGMA);
Vol.
17;
Lee, Chul-hee; Rains, Eric M. et al.
(2020)
An Elliptic Hypergeometric Function Approach to Branching Rules
Symmetry, Integrability and Geometry, Methods and Applications (SIGMA);
Vol.
16;
Rains, Eric M.
(2020)
Elliptic Double Affine Hecke Algebras
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA);
Vol.
16;
Rains, Eric M.; Warnaar, S. Ole
(2018)
A Nekrasov–Okounkov formula for Macdonald polynomials
Journal of Algebraic Combinatorics;
Vol.
48;
No.
1;
Rains, Eric M.; Sam, Steven V.
(2018)
Invariant theory of ⋀^3(9) and genus 2 curves
Algebra and Number Theory;
Vol.
12;
No.
4;
Jordan, Bruce W.; Keeton, Allan G. et al.
(2018)
Abelian varieties isogenous to a power of an elliptic curve
Compositio Mathematica;
Vol.
154;
No.
5;
Rains, Eric M.; Sun, Yi et al.
(2018)
Affine Macdonald conjectures and special values of Felder–Varchenko functions
Selecta Mathematica - New Series;
Vol.
24;
No.
2;
Rains, Eric M.
(2018)
Multivariate quadratic transformations and the interpolation kernel
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA);
Vol.
14;
Ormerod, Chris M.; Rains, Eric M.
(2017)
An Elliptic Garnier System
Communications in Mathematical Physics;
Vol.
355;
No.
2;
Ormerod, Christopher M.; Rains, Eric
(2017)
A symmetric difference-differential Lax pair for Painlevé VI
Journal of Integrable Systems;
Vol.
2;
No.
1;
Ormerod, Christopher M.; Rains, Eric M.
(2016)
Commutation Relations and Discrete Garnier Systems
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA);
Vol.
12;
Etingof, Pavel; Rains, Eric
(2016)
On Cohen–Macaulayness of Algebras Generated by Generalized Power Sums
Communications in Mathematical Physics;
Vol.
347;
No.
1;
Okounkov, Andrei; Rains, Eric
(2015)
Noncommutative geometry and Painlevé equations
Algebra and Number Theory;
Vol.
9;
No.
6;
Bhargava, Manjul; Kane, Daniel M. et al.
(2015)
Modeling the distribution of ranks, Selmer groups, and Shafarevich–Tate groups of elliptic curves
Cambridge Journal of Mathematics;
Vol.
3;
No.
3;
van de Bult, Fokko J.; Rains, Eric M.
(2015)
Limits of elliptic hypergeometric biorthogonal functions
Journal of Approximation Theory;
Vol.
193;
Rains, Eric; Ruijsenaars, Simon
(2013)
Difference Operators of Sklyanin and van Diejen Type
Communications in Mathematical Physics;
Vol.
320;
No.
3;
Rains, Eric M.; Vazirani, Monica J.
(2013)
Deformations of permutation representations of Coxeter groups
Journal of Algebraic Combinatorics;
Vol.
37;
No.
3;
Rains, Eric M.
(2012)
Elliptic Littlewood identities
Journal of Combinatorial Theory. Series A;
Vol.
119;
No.
7;
Forrester, Peter J.; Rains, Eric M.
(2012)
A Fuchsian Matrix Differential Equation for Selberg Correlation Integrals
Communications in Mathematical Physics;
Vol.
309;
No.
3;
Poonen, Bjorn; Rains, Eric
(2012)
Random maximal isotropic subspaces and Selmer groups
Journal of the American Mathematical Society;
Vol.
25;
No.
1;
Etingof, Pavel; Rains, Eric
(2011)
On Algebraically Integrable Differential Operators on an Elliptic Curve
Symmetry, Integrability and Geometry, Methods and Applications (SIGMA);
Vol.
7;
Poonen, Bjorn; Rains, Eric
(2011)
Self cup products and the theta characteristic torsor
Mathematical Research Letters;
Vol.
18;
No.
6;
Borodin, Alexei; Gorin, Vadim et al.
(2010)
q-Distributions on boxed plane partitions
Selecta Mathematica - New Series;
Vol.
16;
No.
4;
Rains, Eric M.
(2010)
Transformations of elliptic hypergeometric integrals
Annals of Mathematics;
Vol.
171;
No.
1;
Rains, Eric M.
(2010)
The homology of real subspace arrangements
Journal of Topology;
Vol.
3;
No.
4;
Rains, E. M.; Spiridonov, V. P.
(2009)
Determinants of elliptic hypergeometric integrals
Functional Analysis and its Applications;
Vol.
43;
No.
4;
Forrester, Peter J.; Rains, Eric M.
(2009)
Matrix averages relating to Ginibre ensembles
Journal of Physics A: Mathematical and Theoretical;
Vol.
42;
No.
38;
van de Bult, Fokko J.; Rains, Eric M.
(2009)
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
Symmetry, Integrability and Geometry, Methods and Applications (SIGMA);
Vol.
5;
No.
059;
Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions, 21-25 July 2008
, Bonn, Germany
Rains, Eric M.
(2009)
The action of S_n on the cohomology of M_(0,n)(R)
Selecta Mathematica - New Series;
Vol.
15;
No.
1;
Rains, Eric M.
(2009)
Limits of elliptic hypergeometric integrals
Ramanujan Journal;
Vol.
18;
No.
3;
Lagarias, Jeffrey C.; Rains, Eric et al.
(2009)
The Kruskal Count
The Mathematics of Preference, Choice and Order: Essays in Honor of Peter C. Fishburn;
Etingof, Pavel; Rains, Eric
(2008)
New Deformations of Group Algebras of Coxeter Groups, II
Geometric and Functional Analysis;
Vol.
17;
No.
6;
Henderson, Anthony; Rains, Eric
(2008)
The cohomology of real De Concini–Procesi models of Coxeter type
International Mathematics Research Notices;
Vol.
2008;
Günther, Annika; Nebe, Gabriele et al.
(2008)
Clifford-Weil groups of quotient representations
Albanian Journal of Mathematics;
Vol.
2;
No.
3;
Forrester, Peter J.; Rains, Eric M.
(2007)
Symmetrized Models of Last Passage Percolation and Non-Intersecting Lattice Paths
Journal of Statistical Physics;
Vol.
129;
No.
5-6;
Rains, Eric M.; Vazirani, Monica
(2007)
Vanishing Integrals of Macdonald and Koornwinder polynomials
Transformation Groups;
Vol.
12;
No.
4;
van de Bult, F. J.; Rains, E. M. et al.
(2007)
Properties of Generalized Univariate Hypergeometric Functions
Communications in Mathematical Physics;
Vol.
275;
No.
1;
Etingof, Pavel; Oblomkov, Alexei et al.
(2007)
Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces
Advances in Mathematics;
Vol.
212;
No.
2;
Etingof, Pavel; Latour, Frédéric et al.
(2007)
On central extensions of preprojective algebras
Journal of Algebra;
Vol.
313;
No.
1;
Bartholdi, Laurent; Enriquez, Benjamin et al.
(2006)
Groups and Lie algebras corresponding to the Yang–Baxter equations
Journal of Algebra;
Vol.
305;
No.
2;
Heninger, Nadia; Rains, E. M. et al.
(2006)
On the integrality of nth roots of generating functions
Journal of Combinatorial Theory. Series A;
Vol.
113;
No.
8;
Forrester, Peter J.; Nagao, Taro et al.
(2006)
Correlation functions for random involutions
International Mathematics Research Notices;
Vol.
2006;
Forrester, Peter J.; Rains, Eric M.
(2006)
Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices
International Mathematics Research Notices;
Vol.
2006;
Rains, Eric M.
(2006)
BC_n-symmetric abelian functions
Duke Mathematical Journal;
Vol.
135;
No.
1;
Borodin, Alexei; Rains, Eric M.
(2005)
Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs
Journal of Statistical Physics;
Vol.
121;
No.
3-4;
Rains, Eric M.
(2005)
BC_n-symmetric polynomials
Transformation Groups;
Vol.
10;
No.
1;
Etingof, Pavel; Rains, Eric
(2005)
New deformations of group algebras of Coxeter groups
International Mathematics Research Notices;
Vol.
2005;
No.
10;
Forrester, Peter J.; Rains, Eric M.
(2005)
Interpretations of some parameter dependent generalizations of classical matrix ensembles
Probability Theory and Related Fields;
Vol.
131;
No.
1;
Lagarias, Jeffrey C.; Rains, Eric
(2005)
Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers
Journal of Difference Equations and Applications;
Vol.
11;
No.
12;
Lagarias, Jeffrey C.; Rains, Eric
(2005)
Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles
Journal of Difference Equations and Applications;
Vol.
11;
No.
13;
Lagarias, Jeffrey C.; Rains, Eric
(2005)
Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra
Journal of Difference Equations and Applications;
Vol.
11;
No.
14;
Nebe, G.; Rains, E. M. et al.
(2004)
Codes and invariant theory
Mathematische Nachrichten;
Vol.
274-275;
No.
1;
Nebe, Gabriele; Quebbemann, H.-G. et al.
(2004)
Complete weight enumerators of generalized doubly-even self-dual codes
Finite Fields and Their Applications;
Vol.
10;
No.
4;
Quebbemann, H.-G.; Rains, E. M.
(2003)
On the involutions fixing the class of a lattice
Journal of Number Theory;
Vol.
101;
No.
1;
Rains, Eric M.
(2003)
New asymptotic bounds for self-dual codes and lattices
IEEE Transactions on Information Theory;
Vol.
49;
No.
5;
Applegate, David; Rains, E. M. et al.
(2003)
On asymmetric coverings and covering numbers
Journal of Combinatorial Designs;
Vol.
11;
No.
3;
Rains, Eric M.
(2003)
Images of eigenvalue distributions under power maps
Probability Theory and Related Fields;
Vol.
125;
No.
4;
Lagarias, Jeffrey C.; Rains, Eric
(2003)
On a two-variable zeta function for number fields
Annales de l'Institut Fourier;
Vol.
53;
No.
1;
Rains, E. M.; Sloane, N. J. A. et al.
(2002)
The lattice of N-run orthogonal arrays
Journal of Statistical Planning and Inference;
Vol.
102;
No.
2;
Lagarias, J. C.; Rains, E. M. et al.
(2002)
The EKG Sequence
Experimental Mathematics;
Vol.
11;
No.
3;
Baik, Jinho; Deift, Percy et al.
(2001)
A Fredholm Determinant Identity and the Convergence of Moments for Random Young Tableaux
Communications in Mathematical Physics;
Vol.
223;
No.
3;
Rains, Eric M.
(2001)
A semidefinite program for distillable entanglement
IEEE Transactions on Information Theory;
Vol.
47;
No.
7;
Nebe, Gabriele; Rains, E. M. et al.
(2001)
The Invariants of the Clifford Groups
Designs, Codes and Cryptography;
Vol.
24;
No.
1;
Rains, E. M.
(2001)
Class Groups and Modular Lattices
Journal of Number Theory;
Vol.
88;
No.
2;
Baik, Jinho; Rains, Eric M.
(2001)
Algebraic aspects of increasing subsequences
Duke Mathematical Journal;
Vol.
109;
No.
1;
Baik, Jinho; Rains, Eric M.
(2001)
Symmetrized Random Permutations
Random Matrix Models and Their Applications;
Series.Mathematical Sciences Research Institute publications ;
No.
40;
Rains, Eric M.; Baik, Jinho
(2001)
The asymptotics of monotone subsequences of involutions
Duke Mathematical Journal;
Vol.
109;
No.
2;
Baik, Jinho; Rains, Eric M.
(2000)
Limiting Distributions for a Polynuclear Growth Model with External Sources
Journal of Statistical Physics;
Vol.
100;
No.
3-4;
Bonnecaze, A.; Rains, E. et al.
(2000)
3-Colored 5-Designs and Z_4-Codes
Journal of Statistical Planning and Inference;
Vol.
86;
No.
2;
Rains, Eric
(2000)
Bounds for Self-Dual Codes Over ℤ_4
Finite Fields and Their Applications;
Vol.
6;
No.
2;
Rains, Eric M.
(2000)
Polynomial invariants of quantum codes
IEEE Transactions on Information Theory;
Vol.
46;
No.
1;
Conway, J. H.; Rains, E. M. et al.
(1999)
On the Existence of Similar Sublattices
Canadian Journal of Mathematics;
Vol.
51;
No.
6;
Rains, Eric M.
(1999)
Monotonicity of the quantum linear programming bound
IEEE Transactions on Information Theory;
Vol.
45;
No.
7;
Rains, Eric M.
(1999)
Quantum shadow enumerators
IEEE Transactions on Information Theory;
Vol.
45;
No.
7;
Rains, Eric M.
(1999)
Nonbinary quantum codes
IEEE Transactions on Information Theory;
Vol.
45;
No.
6;
Rains, Eric
(1999)
Optimal self-dual codes over ℤ_4
Discrete Mathematics;
Vol.
203;
No.
1-3;
Calderbank, A. R.; Hardin, R. H. et al.
(1999)
A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces
Journal of Algebraic Combinatorics;
Vol.
9;
No.
2;
Bennett, Charles H.; DiVincenzo, David P. et al.
(1999)
Quantum nonlocality without entanglement
Physical Review A;
Vol.
59;
No.
2;
Rains, E. M.; Sloane, N. J. A.
(1999)
On Cayley's Enumeration of Alkanes (or 4-Valent Trees)
Journal of Integer Sequences;
Vol.
2;
Rains, Eric M.
(1999)
Quantum codes of minimum distance two
IEEE Transactions on Information Theory;
Vol.
45;
No.
1;
Rains, E. M.; Sloane, N. J. A.
(1998)
The Shadow Theory of Modular and Unimodular Lattices
Journal of Number Theory;
Vol.
73;
No.
2;
Rains, Eric M.
(1998)
Normal limit theorems for symmetric random matrices
Probability Theory and Related Fields;
Vol.
112;
No.
3;
Calderbank, A. Robert; Rains, Eric M. et al.
(1998)
Quantum error correction via codes over GF(4)
IEEE Transactions on Information Theory;
Vol.
44;
No.
4;
1997 IEEE International Symposium on Information Theory, June 29-July 4, 1997
, Ulm, Germany
Rains, Eric M.
(1998)
Quantum weight enumerators
IEEE Transactions on Information Theory;
Vol.
44;
No.
4;
Lagarias, Jeffrey C.; Rains, Eric M.
(1998)
Rationals to and Only to Rationals: 10555
American Mathematical Monthly;
Vol.
105;
No.
3;
Rains, Eric M.
(1998)
Shadow bounds for self-dual codes
IEEE Transactions on Information Theory;
Vol.
44;
No.
1;
Rains, E. M.
(1998)
Increasing Subsequences and the Classical Groups
Electronic Journal of Combinatorics;
Vol.
5;
Edel, Yves; Rains, E. M. et al.
(1998)
On Kissing Numbers in Dimensions 32 to 128
Electronic Journal of Combinatorics;
Vol.
5;
Rains, E. M.
(1997)
High powers of random elements of compact Lie groups
Probability Theory and Related Fields;
Vol.
107;
No.
2;
Calderbank, A. R.; Rains, E. M. et al.
(1997)
Quantum Error Correction and Orthogonal Geometry
Physical Review Letters;
Vol.
78;
No.
3;
Robinson, Raphael M.; Goffinet, Daniel et al.
(1996)
Problems: 10550-10556
American Mathematical Monthly;
Vol.
103;
No.
9;
Brown, Robert W.; Rains, Eric M. et al.
(1991)
Harmonic analysis of the relativistic string in spinorial coordinates
Classical and Quantum Gravity;
Vol.
8;
No.
7;