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Elemental Methods in Ergodic Ramsey Theory

  • Book
  • © 1999

Overview

Authors:
  1. Randall McCutcheon
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1722)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-VI
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  2. Introduction

    • Randall McCutcheon
    Pages 1-4

  3. Ramsey theory and topological dynamics

    • Randall McCutcheon
    Pages 5-39

  4. Infinitary Ramsey theory

    • Randall McCutcheon
    Pages 40-77

  5. Density Ramsey theory

    • Randall McCutcheon
    Pages 78-110

  6. Three ergodic roth theorems

    • Randall McCutcheon
    Pages 111-135

  7. Two Szemerédi theorems

    • Randall McCutcheon
    Pages 136-152

  8. Back Matter

    Pages 153-160
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Elemental Methods in Ergodic Ramsey Theory

  • Authors: Randall McCutcheon

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093959

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Softcover ISBN: 978-3-540-66809-1Published: 15 December 1999

  • eBook ISBN: 978-3-540-46699-4Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 166

  • Topics: Combinatorics, Global Analysis and Analysis on Manifolds, Real Functions

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