Eichelsbacher Limit Theorems in Probability, Statistics and Number Theory

Limit Theorems in Probability, Statistics and Number Theory

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In Honor of Friedrich Götze

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Beschreibung

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.


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.


Presents unifying aspects of probability, statistics and number theory Connects asymptotic enumerative combinatorics, particle systems and approximation theory? Presents questions and techniques for new approaches and a wide range of applications Includes supplementary material: sn.pub/extras

Autor*in

Peter Eichelsbacher

Themen in »Limit Theorems in Probability, Statistics and Number Theory«

60F05, 62E20, 60-06, 46L54, 60B20, 60E10, 11J83 asymptotic approximations asymptotic distributions free probability limit theorems random matrices

Stimmen zu »Limit Theorems in Probability, Statistics and Number Theory«

Details

ISBN: 9783642360688
Verlag: Springer Berlin
Erscheinung: 23.04.2013

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