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Rains, Eric M.

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Author ID: rains.eric-m Recent zbMATH articles by "Rains, Eric M."
Published as: Rains, E.; Rains, E. M.; Rains, Eric; Rains, Eric M.
Documents Indexed: 105 Publications since 1991, including 1 Book
all top 5

Serials

10 IEEE Transactions on Information Theory
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Communications in Mathematical Physics
5 Probability Theory and Related Fields
4 IMRN. International Mathematics Research Notices
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 Transformation Groups
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 Nachrichten
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

Publications by Year

Citations contained in zbMATH Open

95 Publications have been cited 1,797 times in 1,289 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.
261
1998
Self-dual codes. Zbl 0936.94017
Rains, Eric M.; Sloane, N. J. A.
109
1998
Eynard-Mehta theorem, Schur process, and their Pfaffian analogs. Zbl 1127.82017
Borodin, Alexei; Rains, Eric M.
80
2005
Limiting distributions for a polynuclear growth model with external sources. Zbl 0976.82043
Baik, Jinho; Rains, Eric M.
76
2000
Quantum error correction and orthogonal geometry. Zbl 1005.94541
Calderbank, A. R.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A.
76
1997
Transformations of elliptic hypergeometric integrals. Zbl 1209.33014
Rains, Eric M.
68
2010
Shadow bounds for self-dual codes. Zbl 1053.94582
Rains, Eric M.
68
1998
Algebraic aspects of increasing subsequences. Zbl 1007.05096
Baik, Jinho; Rains, Eric M.
48
2001
Symmetrized random permutations. Zbl 0989.60010
Baik, Jinho; Rains, Eric M.
47
2001
\(BC_n\)-symmetric abelian functions. Zbl 1101.33012
Rains, Eric M.
46
2006
Self-dual codes and invariant theory. Zbl 1173.94447
Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A.
44
2006
Nonbinary quantum codes. Zbl 0958.94038
Rains, Eric M.
44
1999
The asymptotics of monotone subsequences of involutions. Zbl 1007.60003
Baik, Jinho; Rains, Eric M.
43
2001
\(q\)-distributions on boxed plane partitions. Zbl 1205.82122
Borodin, Alexei; Gorin, Vadim; Rains, Eric M.
41
2010
The shadow theory of modular and unimodular lattices. Zbl 0917.11026
Rains, E. M.; Sloane, N. J. A.
37
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.
35
2010
Interpretations of some parameter dependent generalizations of classical matrix ensembles. Zbl 1056.05142
Forrester, Peter J.; Rains, Eric M.
33
2005
BC\(_n\)-symmetric polynomials. Zbl 1080.33018
Rains, Eric M.
29
2005
A semidefinite program for distillable entanglement. Zbl 0998.81012
Rains, Eric M.
29
2001
Limits of elliptic hypergeometric integrals. Zbl 1178.33021
Rains, Eric M.
26
2009
Random maximal isotropic subspaces and Selmer groups. Zbl 1294.11097
Poonen, Bjorn; Rains, Eric
24
2012
The invariants of the Clifford groups. Zbl 1002.11057
Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A.
24
2001
Groups and Lie algebras corresponding to the Yang-Baxter equations. Zbl 1169.17004
Bartholdi, Laurent; Enriquez, Benjamin; Etingof, Pavel; Rains, Eric
19
2006
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.
19
1999
Increasing subsequences and the classical groups. Zbl 0885.05112
Rains, E. M.
19
1998
Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces. Zbl 1118.14003
Etingof, Pavel; Oblomkov, Alexei; Rains, Eric
17
2007
Properties of generalized univariate hypergeometric functions. Zbl 1144.33007
van de Bult, F. J.; Rains, E. M.; Stokman, J. V.
16
2007
Interrelationships between orthogonal, unitary and symplectic matrix ensembles. Zbl 0987.15004
Forrester, Peter J.; Rains, Eric M.
13
2001
Combinatorial properties of Brownian motion on the compact classical groups. Zbl 1002.60504
Rains, E. M.
13
1997
High powers of random elements of compact Lie groups. Zbl 0868.60012
Rains, E. M.
13
1997
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
12
2015
Deformations of permutation representations of Coxeter groups. Zbl 1277.20042
Rains, Eric M.; Vazirani, Monica J.
12
2013
The homology of real subspace arrangements. Zbl 1213.14102
Rains, Eric M.
12
2010
A logarithmic-depth quantum carry-lookahead adder. Zbl 1152.81708
Draper, T. G.; Kutin, S. A.; Rains, E. M.; Svore, K. M.
12
2006
Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups. Zbl 1171.16007
Etingof, Pavel; Rains, Eric
12
2006
Vanishing integrals of Macdonald and Koornwinder polynomials. Zbl 1202.33027
Rains, Eric M.; Vazirani, Monica
11
2007
Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices. Zbl 1117.15026
Forrester, Peter J.; Rains, Eric M.
11
2006
On longest increasing subsequences in random permutations. Zbl 0966.60010
Odlyzko, A. M.; Rains, E. M.
11
2000
Polynomial invariants of quantum codes. Zbl 1002.94047
Rains, Eric M.
11
2000
Quantum weight enumerators. Zbl 0982.94030
Rains, Eric M.
11
1998
Multivariate quadratic transformations and the interpolation kernel. Zbl 1387.33027
Rains, Eric M.
10
2018
New deformations of group algebras of Coxeter groups. Zbl 1099.20019
Etingof, Pavel; Rains, Eric
10
2005
Elliptic Littlewood identities. Zbl 1263.33011
Rains, Eric M.
9
2012
Determinants of elliptic hypergeometric integrals. Zbl 1193.33201
Rains, E. M.; Spiridonov, V. P.
9
2009
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.
9
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.
9
2004
Optimal self-dual codes over \(\mathbb{Z}_4\). Zbl 1097.94525
Rains, Eric
9
1999
Dynamics of a family of piecewise-linear area-preserving plane maps. I. Rational rotation numbers. Zbl 1082.37044
Lagarias, Jeffrey C.; Rains, Eric
8
2005
Codes and invariant theory. Zbl 1077.94024
Nebe, G.; Rains, E. M.; Sloane, N. J. A.
8
2004
A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026
Baik, Jinho; Deift, Percy; Rains, Eric
8
2001
3-colored 5-designs and \(\mathbb{Z}_4\)-codes. Zbl 0974.05009
Bonnecaze, A.; Rains, E.; Solé, P.
8
2000
The action of \(S_n\) on the cohomology of \(\overline{M}_{0,n}(\mathbb{R})\). Zbl 1223.14030
Rains, Eric M.
7
2009
Correlation functions for random involutions. Zbl 1113.60015
Forrester, Peter J.; Nagao, Taro; Rains, Eric M.
7
2006
Images of eigenvalue distributions under power maps. Zbl 1068.60014
Rains, Eric M.
7
2003
Difference operators of Sklyanin and van Diejen type. Zbl 1282.16029
Rains, Eric; Ruijsenaars, Simon
6
2013
Self cup products and the theta characteristic torsor. Zbl 1297.18005
Poonen, Bjorn; Rains, Eric
6
2011
An isomonodromy interpretation of the hypergeometric solution of the elliptic Painlevé equation (and generalizations). Zbl 1244.33018
Rains, Eric M.
6
2011
Matrix averages relating to Ginibre ensembles. Zbl 1196.15035
Forrester, Peter J.; Rains, Eric M.
6
2009
New deformations of group algebras of Coxeter groups. II. Zbl 1148.20027
Etingof, Pavel; Rains, Eric
6
2008
Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles. Zbl 1082.37045
Lagarias, Jeffrey C.; Rains, Eric
6
2005
Quantum shadow enumerators. Zbl 0956.94027
Rains, Eric M.
6
1999
Basic hypergeometric functions as limits of elliptic hypergeometric functions. Zbl 1188.33025
Van De Bult, Fokko J.; Rains, Eric M.
5
2009
Symmetrized models of last passage percolation and non-intersecting lattice paths. Zbl 1136.82022
Forrester, Peter J.; Rains, Eric M.
5
2007
On the integrality of \(n\)th roots of generating functions. Zbl 1203.94138
Heninger, Nadia; Rains, E. M.; Sloane, N. J. A.
5
2006
On a two-variable zeta function for number fields. Zbl 1106.11036
Lagarias, Jeffrey C.; Rains, Eric
5
2003
Quantum codes of minimum distance two. Zbl 0947.94027
Rains, Eric M.
5
1999
On Cayley’s enumeration of alkanes (or 4-valent trees). Zbl 0999.05053
Rains, E. M.; Sloane, N. J. A.
5
1999
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.
4
2018
Commutation relations and discrete garnier systems. Zbl 1351.39004
Ormerod, Christopher M.; Rains, Eric M.
4
2016
Nonsymmetric interpolation Macdonald polynomials and \({\mathfrak {gl}}_n\) basic hypergeometric series. Zbl 1179.33027
Lascoux, Alain; Rains, Eric M.; Warnaar, S. Ole
4
2009
The cohomology of real De Concini-Procesi models of Coxeter type. Zbl 1153.14011
Henderson, Anthony; Rains, Eric
4
2008
Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra. Zbl 1082.37046
Lagarias, Jeffrey C.; Rains, Eric
4
2005
On asymmetric coverings and covering numbers. Zbl 1013.05024
Applegate, David; Rains, E. M.; Sloane, N. J. A.
4
2003
A simple construction for the Barnes-Wall lattices. Zbl 1039.94532
Nebe, G.; Rains, E. M.; Sloane, N. J. A.
4
2002
The lattice of \(N\)-run orthogonal arrays. Zbl 0989.62041
Rains, E. M.; Sloane, N. J. A.; Stufken, John
4
2002
Bounds for self-dual codes over \(\mathbb{Z}_4\). Zbl 1011.94030
Rains, Eric
4
2000
A Nekrasov-Okounkov formula for Macdonald polynomials. Zbl 1396.05013
Rains, Eric M.; Warnaar, S. Ole
3
2018
An elliptic Garnier system. Zbl 1394.39001
Ormerod, Chris M.; Rains, Eric M.
3
2017
Noncommutative geometry and Painlevé equations. Zbl 1329.14012
Okounkov, Andrei; Rains, Eric
3
2015
A Fuchsian matrix differential equation for Selberg correlation integrals. Zbl 1245.82030
Forrester, Peter J.; Rains, Eric M.
3
2012
On algebraically integrable differential operators on an elliptic curve. Zbl 1247.37045
Etingof, Pavel; Rains, Eric
3
2011
New asymptotic bounds for self-dual codes and lattices. Zbl 1063.94123
Rains, Eric M.
3
2003
On kissing numbers in dimensions 32 to 128. Zbl 0901.52019
Edel, Yves; Rains, E. M.; Sloane, N. J. A.
3
1998
Invariant theory of \(\bigwedge^3(9)\) and genus-2 curves. Zbl 1405.15035
Rains, Eric M.; Sam, Steven V.
2
2018
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
2
2016
Limits of elliptic hypergeometric biorthogonal functions. Zbl 1316.33007
van de Bult, Fokko J.; Rains, Eric M.
2
2015
A difference-integral representation of Koornwinder polynomials. Zbl 1132.33332
Rains, Eric M.
2
2006
Class groups and modular lattices. Zbl 0998.11017
Rains, E. M.
2
2001
Elliptic analogues of the Macdonald and Koornwinder polynomials. Zbl 1245.33017
Rains, Eric M.
1
2011
Clifford-Weil groups of quotient representations. Zbl 1210.94111
Günther, Annika; Nebe, Gabriele; Rains, Eric M.
1
2008
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
On the existence of similar sublattices. Zbl 0963.52006
Conway, J. H.; Rains, E. M.; Sloane, N. J. A.
1
1999
Normal limit theorems for symmetric random matrices. Zbl 0919.15007
Rains, Eric M.
1
1998
Multivariate quadratic transformations and the interpolation kernel. Zbl 1387.33027
Rains, Eric M.
10
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.
4
2018
A Nekrasov-Okounkov formula for Macdonald polynomials. Zbl 1396.05013
Rains, Eric M.; Warnaar, S. Ole
3
2018
Invariant theory of \(\bigwedge^3(9)\) and genus-2 curves. Zbl 1405.15035
Rains, Eric M.; Sam, Steven V.
2
2018
An elliptic Garnier system. Zbl 1394.39001
Ormerod, Chris M.; Rains, Eric M.
3
2017
A symmetric difference-differential Lax pair for Painlevé VI. Zbl 1404.34105
Ormerod, Christopher M.; Rains, Eric
2
2017
Commutation relations and discrete garnier systems. Zbl 1351.39004
Ormerod, Christopher M.; Rains, Eric M.
4
2016
On Cohen-Macaulayness of algebras generated by generalized power sums. With an appendix by Misha Feigin. Zbl 1357.13016
Etingof, Pavel; Rains, Eric
2
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
12
2015
Noncommutative geometry and Painlevé equations. Zbl 1329.14012
Okounkov, Andrei; Rains, Eric
3
2015
Limits of elliptic hypergeometric biorthogonal functions. Zbl 1316.33007
van de Bult, Fokko J.; Rains, Eric M.
2
2015
Deformations of permutation representations of Coxeter groups. Zbl 1277.20042
Rains, Eric M.; Vazirani, Monica J.
12
2013
Difference operators of Sklyanin and van Diejen type. Zbl 1282.16029
Rains, Eric; Ruijsenaars, Simon
6
2013
Random maximal isotropic subspaces and Selmer groups. Zbl 1294.11097
Poonen, Bjorn; Rains, Eric
24
2012
Elliptic Littlewood identities. Zbl 1263.33011
Rains, Eric M.
9
2012
A Fuchsian matrix differential equation for Selberg correlation integrals. Zbl 1245.82030
Forrester, Peter J.; Rains, Eric M.
3
2012
Self cup products and the theta characteristic torsor. Zbl 1297.18005
Poonen, Bjorn; Rains, Eric
6
2011
An isomonodromy interpretation of the hypergeometric solution of the elliptic Painlevé equation (and generalizations). Zbl 1244.33018
Rains, Eric M.
6
2011
On algebraically integrable differential operators on an elliptic curve. Zbl 1247.37045
Etingof, Pavel; Rains, Eric
3
2011
Elliptic analogues of the Macdonald and Koornwinder polynomials. Zbl 1245.33017
Rains, Eric M.
1
2011
Transformations of elliptic hypergeometric integrals. Zbl 1209.33014
Rains, Eric M.
68
2010
\(q\)-distributions on boxed plane partitions. Zbl 1205.82122
Borodin, Alexei; Gorin, Vadim; Rains, Eric M.
41
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.
35
2010
The homology of real subspace arrangements. Zbl 1213.14102
Rains, Eric M.
12
2010
Limits of elliptic hypergeometric integrals. Zbl 1178.33021
Rains, Eric M.
26
2009
Determinants of elliptic hypergeometric integrals. Zbl 1193.33201
Rains, E. M.; Spiridonov, V. P.
9
2009
The action of \(S_n\) on the cohomology of \(\overline{M}_{0,n}(\mathbb{R})\). Zbl 1223.14030
Rains, Eric M.
7
2009
Matrix averages relating to Ginibre ensembles. Zbl 1196.15035
Forrester, Peter J.; Rains, Eric M.
6
2009
Basic hypergeometric functions as limits of elliptic hypergeometric functions. Zbl 1188.33025
Van De Bult, Fokko J.; Rains, Eric M.
5
2009
Nonsymmetric interpolation Macdonald polynomials and \({\mathfrak {gl}}_n\) basic hypergeometric series. Zbl 1179.33027
Lascoux, Alain; Rains, Eric M.; Warnaar, S. Ole
4
2009
New deformations of group algebras of Coxeter groups. II. Zbl 1148.20027
Etingof, Pavel; Rains, Eric
6
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
Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces. Zbl 1118.14003
Etingof, Pavel; Oblomkov, Alexei; Rains, Eric
17
2007
Properties of generalized univariate hypergeometric functions. Zbl 1144.33007
van de Bult, F. J.; Rains, E. M.; Stokman, J. V.
16
2007
Vanishing integrals of Macdonald and Koornwinder polynomials. Zbl 1202.33027
Rains, Eric M.; Vazirani, Monica
11
2007
Symmetrized models of last passage percolation and non-intersecting lattice paths. Zbl 1136.82022
Forrester, Peter J.; Rains, Eric M.
5
2007
On central extensions of preprojective algebras. Zbl 1181.16013
Etingof, Pavel; Latour, Frédéric; Rains, Eric
1
2007
\(BC_n\)-symmetric abelian functions. Zbl 1101.33012
Rains, Eric M.
46
2006
Self-dual codes and invariant theory. Zbl 1173.94447
Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A.
44
2006
Groups and Lie algebras corresponding to the Yang-Baxter equations. Zbl 1169.17004
Bartholdi, Laurent; Enriquez, Benjamin; Etingof, Pavel; Rains, Eric
19
2006
A logarithmic-depth quantum carry-lookahead adder. Zbl 1152.81708
Draper, T. G.; Kutin, S. A.; Rains, E. M.; Svore, K. M.
12
2006
Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups. Zbl 1171.16007
Etingof, Pavel; Rains, Eric
12
2006
Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices. Zbl 1117.15026
Forrester, Peter J.; Rains, Eric M.
11
2006
Correlation functions for random involutions. Zbl 1113.60015
Forrester, Peter J.; Nagao, Taro; Rains, Eric M.
7
2006
On the integrality of \(n\)th roots of generating functions. Zbl 1203.94138
Heninger, Nadia; Rains, E. M.; Sloane, N. J. A.
5
2006
A difference-integral representation of Koornwinder polynomials. Zbl 1132.33332
Rains, Eric M.
2
2006
Eynard-Mehta theorem, Schur process, and their Pfaffian analogs. Zbl 1127.82017
Borodin, Alexei; Rains, Eric M.
80
2005
Interpretations of some parameter dependent generalizations of classical matrix ensembles. Zbl 1056.05142
Forrester, Peter J.; Rains, Eric M.
33
2005
BC\(_n\)-symmetric polynomials. Zbl 1080.33018
Rains, Eric M.
29
2005
New deformations of group algebras of Coxeter groups. Zbl 1099.20019
Etingof, Pavel; Rains, Eric
10
2005
Dynamics of a family of piecewise-linear area-preserving plane maps. I. Rational rotation numbers. Zbl 1082.37044
Lagarias, Jeffrey C.; Rains, Eric
8
2005
Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles. Zbl 1082.37045
Lagarias, Jeffrey C.; Rains, Eric
6
2005
Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra. Zbl 1082.37046
Lagarias, Jeffrey C.; Rains, Eric
4
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.
9
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.
9
2004
Codes and invariant theory. Zbl 1077.94024
Nebe, G.; Rains, E. M.; Sloane, N. J. A.
8
2004
Images of eigenvalue distributions under power maps. Zbl 1068.60014
Rains, Eric M.
7
2003
On a two-variable zeta function for number fields. Zbl 1106.11036
Lagarias, Jeffrey C.; Rains, Eric
5
2003
On asymmetric coverings and covering numbers. Zbl 1013.05024
Applegate, David; Rains, E. M.; Sloane, N. J. A.
4
2003
New asymptotic bounds for self-dual codes and lattices. Zbl 1063.94123
Rains, Eric M.
3
2003
A simple construction for the Barnes-Wall lattices. Zbl 1039.94532
Nebe, G.; Rains, E. M.; Sloane, N. J. A.
4
2002
The lattice of \(N\)-run orthogonal arrays. Zbl 0989.62041
Rains, E. M.; Sloane, N. J. A.; Stufken, John
4
2002
Algebraic aspects of increasing subsequences. Zbl 1007.05096
Baik, Jinho; Rains, Eric M.
48
2001
Symmetrized random permutations. Zbl 0989.60010
Baik, Jinho; Rains, Eric M.
47
2001
The asymptotics of monotone subsequences of involutions. Zbl 1007.60003
Baik, Jinho; Rains, Eric M.
43
2001
A semidefinite program for distillable entanglement. Zbl 0998.81012
Rains, Eric M.
29
2001
The invariants of the Clifford groups. Zbl 1002.11057
Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A.
24
2001
Interrelationships between orthogonal, unitary and symplectic matrix ensembles. Zbl 0987.15004
Forrester, Peter J.; Rains, Eric M.
13
2001
A Fredholm determinant identity and the convergence of moments for random Young tableaux. Zbl 1005.47026
Baik, Jinho; Deift, Percy; Rains, Eric
8
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.
76
2000
On longest increasing subsequences in random permutations. Zbl 0966.60010
Odlyzko, A. M.; Rains, E. M.
11
2000
Polynomial invariants of quantum codes. Zbl 1002.94047
Rains, Eric M.
11
2000
3-colored 5-designs and \(\mathbb{Z}_4\)-codes. Zbl 0974.05009
Bonnecaze, A.; Rains, E.; Solé, P.
8
2000
Bounds for self-dual codes over \(\mathbb{Z}_4\). Zbl 1011.94030
Rains, Eric
4
2000
Nonbinary quantum codes. Zbl 0958.94038
Rains, Eric M.
44
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.
19
1999
Optimal self-dual codes over \(\mathbb{Z}_4\). Zbl 1097.94525
Rains, Eric
9
1999
Quantum shadow enumerators. Zbl 0956.94027
Rains, Eric M.
6
1999
Quantum codes of minimum distance two. Zbl 0947.94027
Rains, Eric M.
5
1999
On Cayley’s enumeration of alkanes (or 4-valent trees). Zbl 0999.05053
Rains, E. M.; Sloane, N. J. A.
5
1999
Monotonicity of the quantum linear programming bound. Zbl 0960.94040
Rains, Eric M.
1
1999
On the existence of similar sublattices. Zbl 0963.52006
Conway, J. H.; Rains, E. M.; Sloane, N. J. A.
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.
261
1998
Self-dual codes. Zbl 0936.94017
Rains, Eric M.; Sloane, N. J. A.
109
1998
Shadow bounds for self-dual codes. Zbl 1053.94582
Rains, Eric M.
68
1998
The shadow theory of modular and unimodular lattices. Zbl 0917.11026
Rains, E. M.; Sloane, N. J. A.
37
1998
Increasing subsequences and the classical groups. Zbl 0885.05112
Rains, E. M.
19
1998
Quantum weight enumerators. Zbl 0982.94030
Rains, Eric M.
11
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.
1
1998
Quantum error correction and orthogonal geometry. Zbl 1005.94541
Calderbank, A. R.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A.
76
1997
Combinatorial properties of Brownian motion on the compact classical groups. Zbl 1002.60504
Rains, E. M.
13
1997
High powers of random elements of compact Lie groups. Zbl 0868.60012
Rains, E. M.
13
1997
all top 5

Cited by 1,479 Authors

38 Rains, Eric M.
37 Harada, Masaaki
31 Forrester, Peter J.
29 Borodin, Alexei
25 Li, Ruihu
23 Dougherty, Steven T.
23 Ferrari, Patrik Lino
21 Spiridonov, Vyacheslav Pavlovich
19 Kaya, Abidin
17 Corwin, Ivan
17 Solé, Patrick
16 Yildiz, Bahattin
14 Kim, Jon-Lark
13 Gulliver, Thomas Aaron
13 Warnaar, S. Ole
12 Munemasa, Akihiro
12 Sasamoto, Tomohiro
11 La Guardia, Giuliano Gadioli
11 Zhu, Shixin
10 Baik, Jinho
10 Etingof, Pavel Il’ich
10 Gaiffi, Giovanni
10 Gildea, Joe
10 Katori, Makoto
10 Nebe, Gabriele
9 Gaborit, Philippe
9 Gorin, Vadim
9 Guo, Luobin
9 Ol’shanskiĭ, Grigoriĭ Iosifovich
9 Parker, Matthew Geoffrey
9 Remenik, Daniel
8 Adler, Mark
8 Betea, Dan
8 Gao, Jian
8 Imamura, Takashi
8 Jitman, Somphong
8 Johansson, Kurt
8 Lee, Yoonjin
8 Oura, Manabu
8 Quastel, Jeremy
8 Razamat, Shlomo S.
8 van Moerbeke, Pierre
7 Han, Sunghyu
7 Kai, Xiaoshan
7 Kitazume, Masaaki
7 Liu, Yang
7 Noumi, Masatoshi
7 Qian, Jianfa
7 Yankov, Nikolay
6 Abualrub, Taher A.
6 Bag, Tushar
6 Bombín, Héctor
6 Bouyuklieva, Stefka
6 Cao, Yonglin
6 Chen, Jianzhang
6 Danielsen, Lars Eirik
6 Dinh, Hai Quang
6 Fulman, Jason E.
6 Galindo Pastor, Carlos
6 Grassl, Markus
6 Guenda, Kenza
6 Hernando, Fernando
6 Ito, Masahiko
6 Korban, Adrian
6 Le Doussal, Pierre
6 Lu, Liangdong
6 Ma, Yuena
6 Marberg, Eric
6 Matsumoto, Ryutaroh
6 Péché, Sandrine
6 Petrov, Leonid
6 Rosengren, Hjalmar
6 Sloane, Neil James Alexander
6 Tonchev, Vladimir D.
6 Upadhyay, Ashish Kumar
6 Wilde, Mark M.
5 Ashraf, Mohammad
5 Bachoc, Christine
5 Calderbank, Arthur Robert
5 Çengellenmiş, Yasemin
5 Chang, Yanxun
5 Chhita, Sunil
5 Choie, YoungJu
5 Dertli, Abdullah
5 Diaconis, Persi Warren
5 Duits, Maurice
5 Fei, Shaoming
5 Fu, Fangwei
5 Guo, Ying
5 Huang, Yuanyuan
5 Karadeniz, Suat
5 Krattenthaler, Christian Friedrich
5 Lee, Moonho
5 Li, Xueliang
5 Ling, San
5 Liu, Xiusheng
5 Mohammad, Ghulam
5 Pak, Igor
5 Ruano, Diego
5 Schehr, Grégory
...and 1,379 more Authors
all top 5

Cited in 209 Serials

67 Designs, Codes and Cryptography
63 Finite Fields and their Applications
60 Quantum Information Processing
55 Communications in Mathematical Physics
42 Discrete Mathematics
39 Journal of Statistical Physics
38 Journal of Mathematical Physics
38 International Journal of Quantum Information
33 Journal of Combinatorial Theory. Series A
32 Advances in Mathematics
32 Journal of High Energy Physics
30 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
29 International Journal of Theoretical Physics
23 The Annals of Probability
20 Probability Theory and Related Fields
19 Journal of Algebraic Combinatorics
18 Transactions of the American Mathematical Society
17 Journal of Algebra
17 Advances in Mathematics of Communications
14 Duke Mathematical Journal
14 Linear Algebra and its Applications
13 Nuclear Physics. B
12 Journal of Number Theory
12 European Journal of Combinatorics
12 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
12 The Ramanujan Journal
12 Journal of Physics A: Mathematical and Theoretical
12 Random Matrices: Theory and Applications
11 Journal of Statistical Mechanics: Theory and Experiment
10 Advances in Applied Mathematics
10 Selecta Mathematica. New Series
10 New Journal of Physics
9 Proceedings of the American Mathematical Society
9 Applicable Algebra in Engineering, Communication and Computing
9 Journal of Algebra, Combinatorics, Discrete Structures and Applications
8 Discrete Applied Mathematics
8 Journal of Pure and Applied Algebra
8 Bulletin of the American Mathematical Society. New Series
8 Journal de Théorie des Nombres de Bordeaux
8 Séminaire Lotharingien de Combinatoire
8 Discrete Mathematics, Algorithms and Applications
8 Physical Review A, Third Series
7 Letters in Mathematical Physics
7 Cryptography and Communications
6 Journal of Mathematical Analysis and Applications
6 Mathematics of Computation
6 Journal of Approximation Theory
6 Journal of Mathematical Sciences (New York)
6 Journal of Combinatorial Designs
6 Annals of Mathematics. Second Series
5 Communications in Algebra
5 Information Processing Letters
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Annales de l’Institut Fourier
5 Mathematische Zeitschrift
5 Journal of Theoretical Probability
5 Experimental Mathematics
5 Applied and Computational Harmonic Analysis
5 Physical Review Letters
5 Journal of Algebra and its Applications
4 Communications on Pure and Applied Mathematics
4 Journal of the Franklin Institute
4 Theoretical and Mathematical Physics
4 Compositio Mathematica
4 Journal of Functional Analysis
4 Constructive Approximation
4 Journal of the American Mathematical Society
4 Electronic Journal of Probability
4 Transformation Groups
4 Annals of Combinatorics
4 Journal of the European Mathematical Society (JEMS)
4 Annales Henri Poincaré
4 Asian-European Journal of Mathematics
3 Archiv der Mathematik
3 Journal of Statistical Planning and Inference
3 Mathematische Annalen
3 Statistics & Probability Letters
3 Journal of Symbolic Computation
3 Forum Mathematicum
3 The Annals of Applied Probability
3 Stochastic Processes and their Applications
3 Journal of Knot Theory and its Ramifications
3 The Electronic Journal of Combinatorics
3 Journal of Difference Equations and Applications
3 Mathematical Physics, Analysis and Geometry
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 International Journal of Number Theory
3 Proceedings of the Steklov Institute of Mathematics
3 Korean Journal of Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Linear and Multilinear Algebra
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physics Letters. A
2 Physics Reports
2 Reviews of Modern Physics
2 Journal of Geometry and Physics
2 Bulletin of the London Mathematical Society
2 Functional Analysis and its Applications
2 Inventiones Mathematicae
2 Journal of Computational and Applied Mathematics
...and 109 more Serials
all top 5

Cited in 57 Fields

435 Information and communication theory, circuits (94-XX)
370 Quantum theory (81-XX)
233 Probability theory and stochastic processes (60-XX)
210 Number theory (11-XX)
182 Combinatorics (05-XX)
159 Statistical mechanics, structure of matter (82-XX)
146 Special functions (33-XX)
142 Linear and multilinear algebra; matrix theory (15-XX)
105 Group theory and generalizations (20-XX)
89 Algebraic geometry (14-XX)
49 Associative rings and algebras (16-XX)
45 Nonassociative rings and algebras (17-XX)
36 Computer science (68-XX)
31 Dynamical systems and ergodic theory (37-XX)
28 Partial differential equations (35-XX)
23 Statistics (62-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
21 Convex and discrete geometry (52-XX)
20 Operator theory (47-XX)
19 Difference and functional equations (39-XX)
18 Commutative algebra (13-XX)
18 Ordinary differential equations (34-XX)
17 Numerical analysis (65-XX)
16 Manifolds and cell complexes (57-XX)
15 Functional analysis (46-XX)
14 Topological groups, Lie groups (22-XX)
13 Category theory; homological algebra (18-XX)
12 Algebraic topology (55-XX)
12 Relativity and gravitational theory (83-XX)
12 Operations research, mathematical programming (90-XX)
11 Geometry (51-XX)
11 Differential geometry (53-XX)
10 Functions of a complex variable (30-XX)
8 Approximations and expansions (41-XX)
7 Field theory and polynomials (12-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Abstract harmonic analysis (43-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 \(K\)-theory (19-XX)
5 Biology and other natural sciences (92-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Integral transforms, operational calculus (44-XX)
4 Mechanics of particles and systems (70-XX)
3 History and biography (01-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Real functions (26-XX)
2 Integral equations (45-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Systems theory; control (93-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year