Deviation Inequalities on Largest Eigenvalues
暂无分享,去创建一个
[1] F. Smithies. Linear Operators , 2019, Nature.
[2] E. Wigner. Characteristic Vectors of Bordered Matrices with Infinite Dimensions I , 1955 .
[3] V. Uppuluri,et al. Asymptotic distribution of eigenvalues of random matrices , 1972 .
[4] L. Gross. LOGARITHMIC SOBOLEV INEQUALITIES. , 1975 .
[5] I. Gohberg,et al. Basic Operator Theory , 1981 .
[6] J. Harer,et al. The Euler characteristic of the moduli space of curves , 1986 .
[7] M. Talagrand,et al. Probability in Banach Spaces: Isoperimetry and Processes , 1991 .
[8] P. Deift,et al. A steepest descent method for oscillatory Riemann–Hilbert problems. Asymptotics for the MKdV equation , 1993 .
[9] P. Forrester. The spectrum edge of random matrix ensembles , 1993 .
[10] D. Voiculescu. The analogues of entropy and of Fisher's information measure in free probability theory, I , 1993 .
[11] C. Tracy,et al. Level-spacing distributions and the Airy kernel , 1992, hep-th/9211141.
[12] D. Bakry. L'hypercontractivité et son utilisation en théorie des semigroupes , 1994 .
[13] M. Talagrand. Concentration of measure and isoperimetric inequalities in product spaces , 1994, math/9406212.
[14] M. Talagrand. On Russo's Approximate Zero-One Law , 1994 .
[15] C. Tracy,et al. Mathematical Physics © Springer-Verlag 1996 On Orthogonal and Symplectic Matrix Ensembles , 1995 .
[16] W. Fulton. Young Tableaux: With Applications to Representation Theory and Geometry , 1996 .
[17] Rene F. Swarttouw,et al. The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue Report Fac , 1996, math/9602214.
[18] Alice Guionnet,et al. Large deviations for Wigner's law and Voiculescu's non-commutative entropy , 1997 .
[19] O. Mazet. Classification des semi-groupes de diffusion sur $\mathbb{R}$ associés à une famille de polynômes orthogonaux , 1997 .
[20] E. Saff,et al. Logarithmic Potentials with External Fields , 1997 .
[21] P. Biane. FREE PROBABILITY FOR PROBABILISTS , 1998, math/9809193.
[22] Timo Seppäläinen,et al. Exact limiting shape for a simplified model of first-passage percolation on the plane , 1998 .
[23] Timo Seppäläinen,et al. Large deviations for increasing sequences on the plane , 1998 .
[24] J. Baik,et al. On the distribution of the length of the longest increasing subsequence of random permutations , 1998, math/9810105.
[25] Ofer Zeitouni,et al. On Increasing Subsequences of I.I.D. Samples , 1999, Combinatorics, Probability and Computing.
[26] Harold Widom,et al. On the Relation Between Orthogonal, Symplectic and Unitary Matrix Ensembles , 1999 .
[27] G. Olshanski,et al. Asymptotics of Plancherel measures for symmetric groups , 1999, math/9905032.
[28] yuliy baryshnikov. GUEs and queues , 1999 .
[29] Christian Houdré,et al. A converse Gaussian Poincaré-type inequality for convex functions , 1999 .
[30] P. Diaconis,et al. Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem , 1999 .
[31] Z. Bai. METHODOLOGIES IN SPECTRAL ANALYSIS OF LARGE DIMENSIONAL RANDOM MATRICES , A REVIEW , 1999 .
[32] K. Johansson. Shape Fluctuations and Random Matrices , 1999, math/9903134.
[33] K. Johansson. Discrete orthogonal polynomial ensembles and the Plancherel measure. , 1999, math/9906120.
[34] Pavel Bleher,et al. Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model , 1999, math-ph/9907025.
[35] A. Soshnikov. Universality at the Edge of the Spectrum¶in Wigner Random Matrices , 1999, math-ph/9907013.
[36] Stephanos Venakides,et al. UNIFORM ASYMPTOTICS FOR POLYNOMIALS ORTHOGONAL WITH RESPECT TO VARYING EXPONENTIAL WEIGHTS AND APPLICATIONS TO UNIVERSALITY QUESTIONS IN RANDOM MATRIX THEORY , 1999 .
[37] Janko Gravner,et al. Limit Theorems for Height Fluctuations in a Class of Discrete Space and Time Growth Models , 2000 .
[38] A. Soshnikov. Determinantal random point fields , 2000, math/0002099.
[39] F. Hiai,et al. The semicircle law, free random variables, and entropy , 2006 .
[40] Александр Борисович Сошников,et al. Детерминантные случайные точечные поля@@@Determinantal random point fields , 2000 .
[41] Matthias Löwe,et al. Moderate Deviations for Longest Increasing Subsequences: The Lower Tail , 2002 .
[42] N. Alon,et al. On the concentration of eigenvalues of random symmetric matrices , 2000, math-ph/0009032.
[43] A. Guionnet,et al. CONCENTRATION OF THE SPECTRAL MEASURE FOR LARGE MATRICES , 2000 .
[44] Random vicious walks and random matrices , 2000, math/0001022.
[45] P. Deift. Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach , 2000 .
[46] I. Johnstone. On the distribution of the largest principal component , 2000 .
[47] On convergence of moments for random Young tableaux and a random growth model , 2001, math/0108008.
[48] M. Ledoux. The concentration of measure phenomenon , 2001 .
[49] A. Dembo,et al. Aging of spherical spin glasses , 2001 .
[50] C. Tracy,et al. On the distributions of the lengths of the longest monotone subsequences in random words , 1999, math/9904042.
[51] S. Szarek,et al. Chapter 8 - Local Operator Theory, Random Matrices and Banach Spaces , 2001 .
[52] Jinho Baik,et al. A Fredholm Determinant Identity and the Convergence of Moments for Random Young Tableaux , 2001 .
[53] K. Johansson. Universality of the Local Spacing Distribution¶in Certain Ensembles of Hermitian Wigner Matrices , 2000, math-ph/0006020.
[54] Jinho Baik,et al. Optimal tail estimates for directed last passage site percolation with geometric random variables , 2001 .
[56] First Passage Percolation Has Sublinear Distance Variance , 2002, math/0203262.
[57] C. Tracy,et al. Distribution Functions for Largest Eigenvalues and Their Applications , 2002, math-ph/0210034.
[58] Marc Yor,et al. A Representation for Non-Colliding Random Walks , 2002 .
[59] P. D. Miller,et al. Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles , 2002 .
[60] Neil O'Connell,et al. Random matrices, non-colliding processes and queues , 2002, math/0203176.
[61] LIMITING DISTRIBUTION OF LAST PASSAGE PERCOLATION MODELS , 2003, math/0310347.
[62] L. Pastur,et al. On the edge universality of the local eigenvalue statistics of matrix models , 2003 .
[63] Arno B. J. Kuijlaars,et al. Riemann-Hilbert Analysis for Orthogonal Polynomials , 2003 .
[64] Jacob T. Schwartz,et al. Linear operators. Part II. Spectral theory , 2003 .
[65] M. Anshelevich,et al. Introduction to orthogonal polynomials , 2003 .
[66] Michel Ledoux,et al. A Remark on Hypercontractivity and Tail Inequalities for the Largest Eigenvalues of Random Matrices , 2003 .
[67] S. Thorbjørnsen,et al. Random matrices with complex Gaussian entries , 2003 .
[68] L. Pastur,et al. Matrices aléatoires: Statistique asymptotique des valeurs propres , 2003 .
[69] O. Johnson. Free Random Variables , 2004 .
[70] M. Meckes. Concentration of norms and eigenvalues of random matrices , 2002, math/0211192.
[71] Michel Ledoux,et al. Differential Operators and Spectral Distributions of Invariant Ensembles from the Classical Orthogonal Polynomials. The Continuous Case , 2004 .
[72] Yan V. Fyodorov. Recent Perspectives in Random Matrix Theory and Number Theory: Introduction to the random matrix theory: Gaussian Unitary Ensemble and beyond , 2005 .
[73] M. Talagrand. The Generic Chaining , 2005 .
[74] W. Koenig. Orthogonal polynomial ensembles in probability theory , 2004, math/0403090.
[75] Distributions of Invariant Ensembles from the Classical Orthogonal Polynimials: the Discrete Case , 2005 .
[76] Friedrich Götze,et al. The rate of convergence for spectra of GUE and LUE matrix ensembles , 2005 .
[77] Benoit Collins. Product of random projections, Jacobi ensembles and universality problems arising from free probability , 2005 .
[78] S. Szarek. Volume of separable states is super-doubly-exponentially small in the number of qubits , 2005 .
[79] M. Stephanov,et al. Random Matrices , 2005, hep-ph/0509286.
[80] Rene F. Swarttouw,et al. Orthogonal polynomials , 2020, NIST Handbook of Mathematical Functions.
[81] Michel Benaim,et al. Exponential concentration for first passage percolation through modified Poincaré inequalities , 2006, math/0609730.
[82] Grigoris Paouris,et al. Concentration of mass on the Schatten classes , 2007 .
[83] Estimates for moments of random matrices with Gaussian elements , 2005, math-ph/0507060.
[84] On large deviations for the spectral measure of discrete Coulomb gas , 2008 .
[85] H. Bateman. Book Review: Ergebnisse der Mathematik und ihrer Grenzgebiete , 1933 .
[86] M. Ledoux. DIFFERENTIAL OPERATORS AND SPECTRAL DISTRIBUTIONS OF INVARIANT ENSEMBLES FROM THE CLASSICAL ORTHOGONAL POLYNOMIALS: THE DISCRETE CASE , 2019 .