Random matrices

Xem 1-12 trên 12 kết quả Random matrices
  • Dedicated to the memory of Gert Kjærg˚ Pedersen ard Abstract In the process of developing the theory of free probability and free entropy, Voiculescu introduced in 1991 a random matrix model for a free semicircular system. Since then, random matrices have played a key role in von Neumann algebra theory (cf. [V8], [V9]). The main result of this paper is the follow(n) (n) ing extension of Voiculescu’s random matrix result: Let (X1 , . . . , Xr ) be a system of r stochastically independent n × n Gaussian self-adjoint random matrices as in Voiculescu’s random matrix paper...

    pdf66p noel_noel 17-01-2013 23 4   Download

  • Let A be an n × n matrix, whose entries are independent copies of a centered random variable satisfying the subgaussian tail estimate. We prove that the operator norm of A−1 does not exceed Cn3/2 with probability close to 1. 1. Introduction Let A be an n × n matrix, whose entries are independent, identically distributed random variables. The spectral properties of such matrices, in particular invertibility, have been extensively studied (see, e.g. [M] and the survey [DS]).

    pdf28p dontetvui 17-01-2013 23 6   Download

  • Random matrices are widely and successfully used in physics for almost 60-70 years, beginning with the works of Wigner and Dyson. Initially proposed to describe statistics of excited levels in complex nuclei, the Random Matrix Theory has grown far beyond nuclear physics, and also far beyond just level statistics. It is constantly developing into new areas of physics and mathematics, and now constitutes a part of the general culture and curriculum of a theoretical physicist.

    pdf517p camnhung_1 13-12-2012 32 7   Download

  • Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Research Article On Marginal Distributions of the Ordered Eigenvalues of Certain Random Matrices

    pdf12p dauphong15 16-02-2012 31 3   Download

  • Tuyển tập các báo cáo nghiên cứu khoa học trên tạp chí toán học quốc tế đề tài: Random Matrices, Magic Squares and Matching Polynomials...

    pdf26p thulanh5 13-09-2011 19 1   Download

  • Tuyển tập các báo cáo nghiên cứu khoa học về toán học trên tạp chí toán học quốc tế đề tài: Permutations without long decreasing subsequences and random matrices...

    pdf9p thulanh6 15-09-2011 25 1   Download

  • Tuyển tập các báo cáo nghiên cứu khoa học về toán học trên tạp chí toán học quốc tế đề tài: Jack deformations of Plancherel measures and traceless Gaussian random matrices...

    pdf18p thulanh6 17-09-2011 16 1   Download

  • The present book collects most of the courses and seminars delivered at the meeting entitled “ Frontiers in Number Theory, Physics and Geometry”, which took place at the Centre de Physique des Houches in the French Alps, March 9- 21, 2003. It is divided into two volumes. Volume I contains the contributions on three broad topics: Random matrices, Zeta functions and Dynamical systems. The present volume contains sixteen contributions on three themes: Conformal field theories for strings and branes, Discrete groups and automorphic forms and finally, Hopf algebras and renormalization....

    pdf0p camnhung_1 13-12-2012 44 5   Download

  • CHAPTER 9 Random Matrices. The step from random vectors to random matrices (and higher order random arrays) is not as big as the step from individual random variables to random vectors. We will first give a few quite trivial verifications that the expected value operator is indeed a linear operator

    pdf63p leslienguyen 28-10-2010 47 3   Download

  • Tuyển tập các báo cáo nghiên cứu khoa học về toán học trên tạp chí toán học quốc tế đề tài: Truncations of Random Unitary Matrices and Young Tableaux...

    pdf12p thulanh6 15-09-2011 32 2   Download

  • p 01-01-1970   Download

  • CHAPTER 3 Random Variables. 3.1. Notation Throughout these class notes, lower case bold letters will be used for vectors and upper case bold letters for matrices, and letters that are not bold for scalars. The (i, j) element of the matrix A is aij , and the ith element of a vector b is bi

    pdf75p leslienguyen 28-10-2010 38 4   Download

CHỦ ĐỀ BẠN MUỐN TÌM

Đồng bộ tài khoản