Overview

​Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and approximation theory, and are important for new approaches in geometric and metric number theory as well. Thus, the contributions in this book include a wide range of applications with surprising connections ranging from longest common subsequences for words, permutation groups, random matrices and free probability to entropy problems and metric number theory. The book is the product of a conference that took place in August 2011 in Bielefeld, Germany to celebrate the 60th birthday of Friedrich Götze, a noted expert in this field.

Full Product Details

Author:   Peter Eichelsbacher ,  Guido Elsner ,  Holger Kösters ,  Matthias Löwe
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2013 ed.
Volume:   42
Dimensions:   Width: 15.50cm , Height: 2.40cm , Length: 23.50cm
Weight:   6.151kg
ISBN:  

9783642360671

ISBN 10:   364236067
Pages:   317
Publication Date:   07 May 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

W. van Zwet: A conversation with Friedrich Götze.- V. Bernik, V. Beresnevich, F. Götze, O. Kukso: Distribution of algebraic numbers and metric theory of Diophantine approximation.- J. Marklof: Fine-scale statistics for the multidimensional Farey sequence.- S. G. Bobkov, M. M. Madiman: On the problem of reversibility of the entropy power inequality.- G. P. Chistyakov: On probability measures with unbounded angular ratio.- M. Gordin: CLT for stationary normal Markov chains via generalized coboundaries.- T. Mai, R. Speicher: Operator-valued and multivariate free Berry-Esseen theorems.- T. Mai, R. Speicher: Operator-valued and multivariate free Berry-Esseen theorems.- R. Bhattacharya: A nonparametric theory of statistics on manifolds.- J. Lember, H. Matzinger, F. Torres: Proportion of gaps and uctuations of the optimal score in random sequence comparison.- Y. V. Prokhorov, V. V. Ulyanov: Some approximation problems in statistics and probability.- H. Döring, P. Eichelsbacher: Moderate deviations for the determinant of Wigner matrices.- O. Friesen, M. Löwe: The semicircle law for matrices with dependent entries.- A. Tikhomirov: Limit theorems for random matrices.

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