Etingof, P.; Kalinov, D. et al. (2022) New realizations of deformed double current algebras and Deligne categories Transformation Groups; https://doi.org/10.1007/s00031-022-09717-9 (In Press)
Albion, Seamus P.; Rains, Eric M. et al. (2021) AFLT-type Selberg integrals Communications in Mathematical Physics; Vol. 388; No. 2; https://doi.org/10.1007/s00220-021-04157-0
Nakamura, Akane; Rains, Eric (2021) Uniqueness of Polarization for the Autonomous 4-dimensional Painlevé-type Systems International Mathematics Research Notices; Vol. 2021; No. 18; https://doi.org/10.1093/imrn/rnaa037
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; https://doi.org/10.3842/sigma.2021.029
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; https://doi.org/10.3842/sigma.2020.142
Rains, Eric M. (2020) Elliptic Double Affine Hecke Algebras Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 16; https://doi.org/10.3842/SIGMA.2020.111
Rains, Eric M.; Warnaar, S. Ole (2018) A Nekrasov–Okounkov formula for Macdonald polynomials Journal of Algebraic Combinatorics; Vol. 48; No. 1; https://doi.org/10.1007/s10801-017-0790-2
Rains, Eric M.; Sam, Steven V. (2018) Invariant theory of ⋀^3(9) and genus 2 curves Algebra and Number Theory; Vol. 12; No. 4; https://doi.org/10.2140/ant.2018.12.935
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; https://doi.org/10.1112/S0010437X17007990
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; https://doi.org/10.1007/s00029-017-0328-4
Rains, Eric M. (2018) Multivariate quadratic transformations and the interpolation kernel Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 14; https://doi.org/10.3842/SIGMA.2018.019
Ormerod, Chris M.; Rains, Eric M. (2017) An Elliptic Garnier System Communications in Mathematical Physics; Vol. 355; No. 2; https://doi.org/10.1007/s00220-017-2934-6
Ormerod, Christopher M.; Rains, Eric (2017) A symmetric difference-differential Lax pair for Painlevé VI Journal of Integrable Systems; Vol. 2; No. 1; https://doi.org/10.1093/integr/xyx003
Ormerod, Christopher M.; Rains, Eric M. (2016) Commutation Relations and Discrete Garnier Systems Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 12; https://doi.org/10.3842/SIGMA.2016.110
Etingof, Pavel; Rains, Eric (2016) On Cohen–Macaulayness of Algebras Generated by Generalized Power Sums Communications in Mathematical Physics; Vol. 347; No. 1; https://doi.org/10.1007/s00220-016-2657-0
Rains, Eric M. (2016) The noncommutative geometry of elliptic difference equations https://resolver.caltech.edu/CaltechAUTHORS:20170922-135420800 (Submitted)
Rains, Eric M.; Sam, Steven V. (2016) Vector bundles on genus 2 curves and trivectors https://resolver.caltech.edu/CaltechAUTHORS:20170922-135945128 (Submitted)
Okounkov, Andrei; Rains, Eric (2015) Noncommutative geometry and Painlevé equations Algebra and Number Theory; Vol. 9; No. 6; https://doi.org/10.2140/ant.2015.9.1363
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; https://doi.org/10.4310/CJM.2015.v3.n3.a1
Rains, Eric M.; Warnaar, S. Ole (2015) Bounded Littlewood identities https://resolver.caltech.edu/CaltechAUTHORS:20170922-141021522 (Submitted)
van de Bult, Fokko J.; Rains, Eric M. (2015) Limits of elliptic hypergeometric biorthogonal functions Journal of Approximation Theory; Vol. 193; https://doi.org/10.1016/j.jat.2014.06.009
Rains, Eric M. (2013) Birational morphisms and Poisson moduli spaces https://resolver.caltech.edu/CaltechAUTHORS:20170922-144027436 (Submitted)
Rains, Eric M. (2013) Generalized Hitchin systems on rational surfaces https://resolver.caltech.edu/CaltechAUTHORS:20170922-142713387 (Submitted)
Rains, Eric; Ruijsenaars, Simon (2013) Difference Operators of Sklyanin and van Diejen Type Communications in Mathematical Physics; Vol. 320; No. 3; https://doi.org/10.1007/s00220-013-1692-3
Rains, Eric M.; Vazirani, Monica J. (2013) Deformations of permutation representations of Coxeter groups Journal of Algebraic Combinatorics; Vol. 37; No. 3; https://doi.org/10.1007/s10801-012-0371-3
Rains, Eric M. (2012) Elliptic Littlewood identities Journal of Combinatorial Theory. Series A; Vol. 119; No. 7; https://doi.org/10.1016/j.jcta.2012.03.001
Forrester, Peter J.; Rains, Eric M. (2012) A Fuchsian Matrix Differential Equation for Selberg Correlation Integrals Communications in Mathematical Physics; Vol. 309; No. 3; https://doi.org/10.1007/s00220-011-1305-y
Poonen, Bjorn; Rains, Eric (2012) Random maximal isotropic subspaces and Selmer groups Journal of the American Mathematical Society; Vol. 25; No. 1; https://doi.org/10.1090/S0894-0347-2011-00710-8
van de Bult, Fokko J.; Rains, Eric M. (2011) Limits of multivariate elliptic beta integrals and related bilinear forms https://resolver.caltech.edu/CaltechAUTHORS:20170922-144400917 (Submitted)
van de Bult, Fokko J.; Rains, Eric M. (2011) Limits of multivariate elliptic hypergeometric biorthogonal functions https://resolver.caltech.edu/CaltechAUTHORS:20170922-152223616 (Submitted)
Rains, Eric M. (2011) An Isomonodromy Interpretation of the Hypergeometric Solution of the Elliptic Painlevé Equation (and Generalizations) Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 7; https://doi.org/10.3842/SIGMA.2011.088
Etingof, Pavel; Rains, Eric (2011) On Algebraically Integrable Differential Operators on an Elliptic Curve Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 7; https://doi.org/10.3842/SIGMA.2011.062
Rains, Eric M. (2011) Elliptic Analogues of the Macdonald and Koornwinder Polynomials In: Proceedings of the International Congress of Mathematicians : Hyderabad, August 19-27, 2010; In: 2010 International Congress of Mathematicians (ICM), 19-27 August 2010, Hyderabad, India https://doi.org/10.1142/9789814324359_0157
Poonen, Bjorn; Rains, Eric (2011) Self cup products and the theta characteristic torsor Mathematical Research Letters; Vol. 18; No. 6; https://doi.org/10.4310/MRL.2011.v18.n6.a18
Borodin, Alexei; Gorin, Vadim et al. (2010) q-Distributions on boxed plane partitions Selecta Mathematica - New Series; Vol. 16; No. 4; https://doi.org/10.1007/s00029-010-0034-y
Etingof, Pavel; Henriques, André et al. (2010) The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points Annals of Mathematics; Vol. 171; No. 2; https://doi.org/10.4007/annals.2010.171.731
Rains, Eric M. (2010) Transformations of elliptic hypergeometric integrals Annals of Mathematics; Vol. 171; No. 1; https://resolver.caltech.edu/CaltechAUTHORS:20100611-112526706
Rains, Eric M. (2010) The homology of real subspace arrangements Journal of Topology; Vol. 3; No. 4; https://doi.org/10.1112/jtopol/jtq027
Rains, E. M.; Spiridonov, V. P. (2009) Determinants of elliptic hypergeometric integrals Functional Analysis and its Applications; Vol. 43; No. 4; https://doi.org/10.1007/s10688-009-0037-7
Forrester, Peter J.; Rains, Eric M. (2009) Matrix averages relating to Ginibre ensembles Journal of Physics A: Mathematical and Theoretical; Vol. 42; No. 38; https://doi.org/10.1088/1751-8113/42/38/385205
Lascoux, Alain; Rains, Eric M. et al. (2009) Nonsymmetric interpolation macdonald polynomials and gl_n basic hypergeometric series Transformation Groups; Vol. 14; No. 3; https://doi.org/10.1007/s00031-009-9061-1
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; In: Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions, 21-25 July 2008, Bonn, Germany https://doi.org/10.3842/SIGMA.2009.059
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; https://doi.org/10.1007/s00029-008-0467-8
Rains, Eric M. (2009) Limits of elliptic hypergeometric integrals Ramanujan Journal; Vol. 18; No. 3; https://doi.org/10.1007/s11139-007-9055-3
Lagarias, Jeffrey C.; Rains, Eric et al. (2009) The Kruskal Count In: The Mathematics of Preference, Choice and Order: Essays in Honor of Peter C. Fishburn; https://doi.org/10.1007/978-3-540-79128-7_23
Etingof, Pavel; Rains, Eric (2008) New Deformations of Group Algebras of Coxeter Groups, II Geometric and Functional Analysis; Vol. 17; No. 6; https://doi.org/10.1007/s00039-007-0642-7
Henderson, Anthony; Rains, Eric (2008) The cohomology of real De Concini–Procesi models of Coxeter type International Mathematics Research Notices; Vol. 2008; https://doi.org/10.1093/imrn/rnn001
Günther, Annika; Nebe, Gabriele et al. (2008) Clifford-Weil groups of quotient representations Albanian Journal of Mathematics; Vol. 2; No. 3; https://resolver.caltech.edu/CaltechAUTHORS:20170925-133038865
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; https://doi.org/10.1007/s10955-007-9413-y
Rains, Eric M.; Vazirani, Monica (2007) Vanishing Integrals of Macdonald and Koornwinder polynomials Transformation Groups; Vol. 12; No. 4; https://doi.org/10.1007/S00031-007-0058-3
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; https://doi.org/10.1007/s00220-007-0289-0
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; https://doi.org/10.1016/j.aim.2006.11.008
Etingof, Pavel; Latour, Frédéric et al. (2007) On central extensions of preprojective algebras Journal of Algebra; Vol. 313; No. 1; https://doi.org/10.1016/j.jalgebra.2006.11.040
Bartholdi, Laurent; Enriquez, Benjamin et al. (2006) Groups and Lie algebras corresponding to the Yang–Baxter equations Journal of Algebra; Vol. 305; No. 2; https://doi.org/10.1016/j.jalgebra.2005.12.006
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; https://doi.org/10.1016/j.jcta.2006.03.018
Rains, Eric M.; Vazirani, Monica J. (2006) Quadratic transformations of Macdonald and Koornwinder polynomials https://resolver.caltech.edu/CaltechAUTHORS:20171010-113111196 (Submitted)
Etingof, Pavel; Rains, Eric (2006) Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups Journal of Algebra; Vol. 299; No. 2; https://doi.org/10.1016/j.jalgebra.2006.01.005
Forrester, Peter J.; Nagao, Taro et al. (2006) Correlation functions for random involutions International Mathematics Research Notices; Vol. 2006; https://doi.org/10.1155/IMRN/2006/89796
Forrester, Peter J.; Rains, Eric M. (2006) Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices International Mathematics Research Notices; Vol. 2006; https://doi.org/10.1155/IMRN/2006/48306
Rains, Eric M. (2006) A difference-integral representation of Koornwinder polynomials In: Jack, Hall-Littlewood and Macdonald Polynomials; Series Contemporary Mathematics; No. 417; In: Workshop on Jack, Hall-Littlewood and Macdonald Polynomials, 2003 September 23-26, Edinburgh, Scotland https://doi.org/10.1090/conm/417/07929
Rains, Eric M. (2006) BC_n-symmetric abelian functions Duke Mathematical Journal; Vol. 135; No. 1; https://resolver.caltech.edu/CaltechAUTHORS:20171003-154931716
Nebe, Gabriele; Rains, Eric M. et al. (2006) Self-Dual Codes and Invariant Theory In: Self-Dual Codes and Invariant Theory; Vol. 17; Series Algorithms and Computation in Mathematics; https://doi.org/10.1007/3-540-30731-1
Borodin, Alexei; Rains, Eric M. (2005) Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs Journal of Statistical Physics; Vol. 121; No. 3-4; https://doi.org/10.1007/s10955-005-7583-z
Rains, Eric M. (2005) Recurrences for elliptic hypergeometric integrals https://resolver.caltech.edu/CaltechAUTHORS:20171009-142453684 (Submitted)
Rains, Eric M. (2005) BC_n-symmetric polynomials Transformation Groups; Vol. 10; No. 1; https://doi.org/10.1007/s00031-005-1003-y
Etingof, Pavel; Rains, Eric (2005) New deformations of group algebras of Coxeter groups International Mathematics Research Notices; Vol. 2005; No. 10; https://doi.org/10.1155/IMRN.2005.635
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; https://doi.org/10.1007/s00440-004-0375-6
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; https://doi.org/10.1080/10236190500273069
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; https://doi.org/10.1080/10236190500273127
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; https://doi.org/10.1080/10236190500273184
Forrester, Peter J.; Rains, Eric M. (2004) Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter Probability Theory and Related Fields; Vol. 130; No. 4; https://doi.org/10.1007/s00440-004-0374-7
Nebe, G.; Rains, E. M. et al. (2004) Codes and invariant theory Mathematische Nachrichten; Vol. 274-275; No. 1; https://doi.org/10.1002/mana.200310204
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; https://doi.org/10.1016/j.ffa.2003.12.001
Draper, Thomas G.; Kutin, Samuel A. et al. (2004) A logarithmic-depth quantum carry-lookahead adder https://resolver.caltech.edu/CaltechAUTHORS:20171010-104601338 (Submitted)
Quebbemann, H.-G.; Rains, E. M. (2003) On the involutions fixing the class of a lattice Journal of Number Theory; Vol. 101; No. 1; https://doi.org/10.1016/S0022-314X(03)00022-2
Rains, Eric M. (2003) New asymptotic bounds for self-dual codes and lattices IEEE Transactions on Information Theory; Vol. 49; No. 5; https://doi.org/10.1109/TIT.2003.810623
Applegate, David; Rains, E. M. et al. (2003) On asymmetric coverings and covering numbers Journal of Combinatorial Designs; Vol. 11; No. 3; https://doi.org/10.1002/jcd.10022
Rains, Eric M. (2003) Images of eigenvalue distributions under power maps Probability Theory and Related Fields; Vol. 125; No. 4; https://doi.org/10.1007/s00440-002-0250-2
Lagarias, Jeffrey C.; Rains, Eric (2003) On a two-variable zeta function for number fields Annales de l'Institut Fourier; Vol. 53; No. 1; https://resolver.caltech.edu/CaltechAUTHORS:20171027-085620532
Rains, E. M.; Sloane, N. J. A. (2002) Self-Dual Codes https://resolver.caltech.edu/CaltechAUTHORS:20171122-102726979 (Submitted)
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; https://doi.org/10.1016/S0378-3758(01)00119-7
Lagarias, J. C.; Rains, E. M. et al. (2002) The EKG Sequence Experimental Mathematics; Vol. 11; No. 3; https://doi.org/10.1080/10586458.2002.10504486
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; https://doi.org/10.1007/s002200100555
Rains, Eric M. (2001) A semidefinite program for distillable entanglement IEEE Transactions on Information Theory; Vol. 47; No. 7; https://doi.org/10.1109/18.959270
Nebe, Gabriele; Rains, E. M. et al. (2001) The Invariants of the Clifford Groups Designs, Codes and Cryptography; Vol. 24; No. 1; https://doi.org/10.1023/A:1011233615437
Rains, E. M. (2001) Class Groups and Modular Lattices Journal of Number Theory; Vol. 88; No. 2; https://doi.org/10.1006/jnth.2000.2633
Baik, Jinho; Rains, Eric M. (2001) Algebraic aspects of increasing subsequences Duke Mathematical Journal; Vol. 109; No. 1; https://doi.org/10.1215/S0012-7094-01-10911-3
Forrester, Peter J.; Rains, Eric M. (2001) Interrelationships Between Orthogonal, Unitary and Symplectic Matrix Ensembles In: Random Matrix Models and Their Applications; Series Mathematical Sciences Research Institute publications ; No. 40; https://resolver.caltech.edu/CaltechAUTHORS:20170926-090553813
Baik, Jinho; Rains, Eric M. (2001) Symmetrized Random Permutations In: Random Matrix Models and Their Applications; Series Mathematical Sciences Research Institute publications ; No. 40; https://resolver.caltech.edu/CaltechAUTHORS:20170926-160331200
Rains, Eric M.; Baik, Jinho (2001) The asymptotics of monotone subsequences of involutions Duke Mathematical Journal; Vol. 109; No. 2; https://doi.org/10.1215/S0012-7094-01-10921-6
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; https://doi.org/10.1023/A:1018615306992
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; https://doi.org/10.1016/S0378-3758(99)00117-2
Rains, Eric (2000) Bounds for Self-Dual Codes Over ℤ_4 Finite Fields and Their Applications; Vol. 6; No. 2; https://doi.org/10.1006/ffta.1999.0258
Rains, Eric M. (2000) Polynomial invariants of quantum codes IEEE Transactions on Information Theory; Vol. 46; No. 1; https://doi.org/10.1109/18.817508
Odlyzko, A. M.; Rains, E. M. (2000) On longest increasing subsequences in random permutations In: Analysis, Geometry, Number Theory: The Mathematics of Leon Ehrenpreis; Series Contemporary Mathematics; No. 251; https://doi.org/10.1090/conm/251/03886
Conway, J. H.; Rains, E. M. et al. (1999) On the Existence of Similar Sublattices Canadian Journal of Mathematics; Vol. 51; No. 6; https://doi.org/10.4153/CJM-1999-059-5
Rains, Eric M. (1999) Monotonicity of the quantum linear programming bound IEEE Transactions on Information Theory; Vol. 45; No. 7; https://doi.org/10.1109/18.796387
Rains, Eric M. (1999) Quantum shadow enumerators IEEE Transactions on Information Theory; Vol. 45; No. 7; https://doi.org/10.1109/18.796376
Rains, Eric M. (1999) Nonbinary quantum codes IEEE Transactions on Information Theory; Vol. 45; No. 6; https://doi.org/10.1109/18.782103
Rains, Eric (1999) Optimal self-dual codes over ℤ_4 Discrete Mathematics; Vol. 203; No. 1-3; https://doi.org/10.1016/S0012-365X(98)00358-6
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; https://doi.org/10.1023/A:1018673825179
Bennett, Charles H.; DiVincenzo, David P. et al. (1999) Quantum nonlocality without entanglement Physical Review A; Vol. 59; No. 2; https://doi.org/10.1103/PhysRevA.59.1070
Rains, E. M.; Sloane, N. J. A. (1999) On Cayley's Enumeration of Alkanes (or 4-Valent Trees) Journal of Integer Sequences; Vol. 2; https://resolver.caltech.edu/CaltechAUTHORS:20170926-154926203
Rains, Eric M. (1999) Quantum codes of minimum distance two IEEE Transactions on Information Theory; Vol. 45; No. 1; https://doi.org/10.1109/18.746807
Rains, E. M.; Sloane, N. J. A. (1998) The Shadow Theory of Modular and Unimodular Lattices Journal of Number Theory; Vol. 73; No. 2; https://doi.org/10.1006/jnth.1998.2306
Rains, Eric M. (1998) Normal limit theorems for symmetric random matrices Probability Theory and Related Fields; Vol. 112; No. 3; https://doi.org/10.1007/s004400050195
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; In: 1997 IEEE International Symposium on Information Theory, June 29-July 4, 1997, Ulm, Germany https://doi.org/10.1109/18.681315
Rains, Eric M. (1998) Quantum weight enumerators IEEE Transactions on Information Theory; Vol. 44; No. 4; https://doi.org/10.1109/18.681316
Lagarias, Jeffrey C.; Rains, Eric M. (1998) Rationals to and Only to Rationals: 10555 American Mathematical Monthly; Vol. 105; No. 3; https://resolver.caltech.edu/CaltechAUTHORS:20171120-110513579
Rains, Eric M. (1998) Shadow bounds for self-dual codes IEEE Transactions on Information Theory; Vol. 44; No. 1; https://doi.org/10.1109/18.651000
Rains, E. M. (1998) Increasing Subsequences and the Classical Groups Electronic Journal of Combinatorics; Vol. 5; https://resolver.caltech.edu/CaltechAUTHORS:20170925-154914546
Edel, Yves; Rains, E. M. et al. (1998) On Kissing Numbers in Dimensions 32 to 128 Electronic Journal of Combinatorics; Vol. 5; https://resolver.caltech.edu/CaltechAUTHORS:20170925-155652163
Rains, E. M. (1997) Combinatorial Properties of Brownian Motion on the Compact Classical Groups Journal of Theoretical Probability; Vol. 10; No. 3; https://doi.org/10.1023/A:1022601711176
Rains, E. M. (1997) High powers of random elements of compact Lie groups Probability Theory and Related Fields; Vol. 107; No. 2; https://doi.org/10.1007/s004400050084
Calderbank, A. R.; Rains, E. M. et al. (1997) Quantum Error Correction and Orthogonal Geometry Physical Review Letters; Vol. 78; No. 3; https://doi.org/10.1103/PhysRevLett.78.405
Robinson, Raphael M.; Goffinet, Daniel et al. (1996) Problems: 10550-10556 American Mathematical Monthly; Vol. 103; No. 9; https://doi.org/10.2307/2974454
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; https://doi.org/10.1088/0264-9381/8/7/003