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Limit Theorems in Probability, Statistics and Number Theory

In Honor of Friedrich Götze

  • Conference proceedings
  • © 2013

Overview

  • 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

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 42)

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Table of contents (14 papers)

  1. Number Theory

  2. Probability Theory

  3. Statistics and Combinatorics

  4. Random Matrices

Keywords

About this book

​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.

Editors and Affiliations

  • Mathematics Faculty, Ruhr-University Bochum, Bochum, Germany

    Peter Eichelsbacher

  • Mathematics Faculty, University of Bielefeld, Bielefeld, Germany

    Guido Elsner, Holger Kösters

  • Institute for Mathematical Statistics, University of Münster, Münster, Germany

    Matthias Löwe

  • Mathematics Institute, University of München, München, Germany

    Franz Merkl

  • Centre for Mathematics, Technische Universität München, Garching bei München, Germany

    Silke Rolles

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