Elemental Methods in Ergodic Ramsey Theory

  • Authors
  • Randall McCutcheon
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1722)

Table of contents

  1. Front Matter
    Pages I-VI
  2. Randall McCutcheon
    Pages 1-4
  3. Randall McCutcheon
    Pages 5-39
  4. Randall McCutcheon
    Pages 40-77
  5. Randall McCutcheon
    Pages 78-110
  6. Randall McCutcheon
    Pages 111-135
  7. Randall McCutcheon
    Pages 136-152
  8. Back Matter
    Pages 153-160

About this book

Introduction

This book, suitable for graduate students and professional mathematicians alike, didactically introduces methodologies due to Furstenberg and others for attacking problems in chromatic and density Ramsey theory via recurrence in topological dynamics and ergodic theory, respectively. Many standard results are proved, including the classical theorems of van der Waerden, Hindman, and Szemerédi. More importantly, the presentation strives to reflect the extent to which the field has been streamlined since breaking onto the scene around twenty years ago. Potential readers who were previously intrigued by the subject matter but found it daunting may want to give a second look.

Keywords

Ramsey theory boundary element method ergodic theory field presentation theorem topological dynamics

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0093959
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-66809-1
  • Online ISBN 978-3-540-46699-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book