Springer Proceedings in Mathematics & Statistics

Limit Theorems in Probability, Statistics and Number Theory

In Honor of Friedrich Götze

Editors: Eichelsbacher, P., Elsner, G., Kösters, H., Löwe, M., Merkl, F., Rolles, S. (Eds.)

  • ​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
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Hardcover $139.00
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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.

Table of contents (14 chapters)

  • A Conversation with Friedrich Götze

    Zwet, Willem R.

    Pages 1-20

  • Distribution of Algebraic Numbers and Metric Theory of Diophantine Approximation

    Bernik, V. (et al.)

    Pages 23-48

  • Fine-Scale Statistics for the Multidimensional Farey Sequence

    Marklof, Jens

    Pages 49-57

  • On the Problem of Reversibility of the Entropy Power Inequality

    Bobkov, Sergey G. (et al.)

    Pages 61-74

  • On Probability Measures with Unbounded Angular Ratio

    Chistyakov, G. P.

    Pages 75-92

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-36068-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-642-36067-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-3-642-43396-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Limit Theorems in Probability, Statistics and Number Theory
Book Subtitle
In Honor of Friedrich Götze
Editors
  • Peter Eichelsbacher
  • Guido Elsner
  • Holger Kösters
  • Matthias Löwe
  • Franz Merkl
  • Silke Rolles
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
42
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-36068-8
DOI
10.1007/978-3-642-36068-8
Hardcover ISBN
978-3-642-36067-1
Softcover ISBN
978-3-642-43396-2
Series ISSN
2194-1009
Edition Number
1
Number of Pages
VIII, 317
Topics