Can I read Random Matrices and Random Partitions Normal Convergence Volume 1 on EtoBox?

Random Matrices and Random Partitions Normal Convergence Volume 1 by Zhonggen Su, Su, Zhonggen is a book available to read on EtoBox.

What is Random Matrices and Random Partitions Normal Convergence Volume 1 about?

This book is aimed at graduate students and researchers who are interested in the probability limit theory of random matrices and random partitions. It mainly consists of three parts. Part I is a brief review of classical central limit theorems for sums of independent random variables, martingale differences sequences and Markov chains, etc. These classical theorems are frequently used in the study of random matrices and random partitions. Part II concentrates on the asymptotic distribution theory of Circular Unitary Ensemble and Gaussian Unitary Ensemble, which are prototypes of random matrix theory. It turns out that the classical central limit theorems and methods are applicable in describing asymptotic distributions of various eigenvalue statistics. This is attributed to the nice algebraic structures of models. This part also studies the Circular β Ensembles and Hermitian β Ensembles. Part III is devoted to the study of random uniform and Plancherel partitions. There is a surprising similarity between random matrices and random integer partitions from the viewpoint of asymptotic distribution theory, though it is difficult to find any direct link between the two finite models. A

Author

Zhonggen Su, Su, Zhonggen

Publisher

World Scientific Publishing Co Pte Ltd

Published

2015

Language

EN

ISBN

9789814612241

Subjects

Mathematics, Stem