Sequences, Discrepancies and Applications

  • Authors
  • Michael Drmota
  • Robert F. Tichy

Part of the Lecture Notes in Mathematics book series (LNM, volume 1651)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Michael Drmota, Robert F. Tichy
    Pages 1-203
  3. Michael Drmota, Robert F. Tichy
    Pages 204-367
  4. Michael Drmota, Robert F. Tichy
    Pages 368-432
  5. Back Matter
    Pages 433-505

About this book

Introduction

The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory.

Keywords

Analytic number theory Dicrepancy irregularities of distributgion irregularities of distribution number theory random number generation sequences uniform distribution modulo 1

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0093404
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-62606-0
  • Online ISBN 978-3-540-68333-9
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book