Elemental Methods in Ergodic Ramsey Theory / by Randall McCutcheon.

Format:

Book

Author/Creator:

McCutcheon, Randall, 1965- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1722.

Lecture Notes in Mathematics, 0075-8434 ; 1722

Language:

English

Subjects (All):

Combinatorial analysis.

Global analysis (Mathematics).

Mathematics.

Combinatorics.

Global Analysis and Analysis on Manifolds.

Real Functions.

Local Subjects:

Combinatorics.

Global Analysis and Analysis on Manifolds.

Real Functions.

Physical Description:

1 online resource (VI, 166 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.

System Details:

text file PDF

Summary:

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.

Contents:

Ramsey theory and topological dynamics

Infinitary Ramsey theory

Density Ramsey theory

Three ergodic roth theorems

Two Szemerédi theorems.

Other Format:

Printed edition:

ISBN:

9783540466994

Access Restriction:

Restricted for use by site license.