Elemental Methods in Ergodic Ramsey Theory
Edition: 1st edition
Publisher: Springer
Published: May 15, 2000
Language: eng
Format: Paperback
Number of pages: 160
ISBN-13: 9783540668091
Subjects: Calculus & mathematical analysis; Combinatorics & graph theory; Measure-preserving transformat; Graph Theory; Mathematics; Science/Mathematics; Measure-preserving transformations; Discrete Mathematics; General; Graphic Methods; Mathematics / Graphic Methods; Mathematics : Discrete Mathematics; Medical : General; Combinatorics; Ramsey theory
Description: 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.