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New & Forthcoming Titles | Elemental Methods in Ergodic Ramsey Theory

Elemental Methods in Ergodic Ramsey Theory

Series: Lecture Notes in Mathematics, Vol. 1722

McCutcheon, Randall

1999, VI, 166 p.

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  • 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.

Content Level » Research

Keywords » Ramsey theory - ergodic theory - topological dynamics

Related subjects » Analysis

Table of contents 

Ramsey theory and topological dynamics.- Infinitary Ramsey theory.- Density Ramsey theory.- Three ergodic roth theorems.- Two Szemerédi theorems.

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