Limit Theorems in Probability, Statistics and Number Theory

In Honor of Friedrich Götze

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Statistics
Cover of the book Limit Theorems in Probability, Statistics and Number Theory by , Springer Berlin Heidelberg
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Author: ISBN: 9783642360688
Publisher: Springer Berlin Heidelberg Publication: April 23, 2013
Imprint: Springer Language: English
Author:
ISBN: 9783642360688
Publisher: Springer Berlin Heidelberg
Publication: April 23, 2013
Imprint: Springer
Language: English

​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.

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​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.

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