Elemental Methods in Ergodic Ramsey Theory

1. Auflage 1999
ISBN: 978-3-540-66809-1
Verlag: Springer

Buch, Englisch, Band 1722, 166 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 550 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

McCutcheon, Randall

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

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