E-Book, Englisch, Band 1722, 166 Seiten, eBook
Reihe: Lecture Notes in Mathematics
McCutcheon Elemental Methods in Ergodic Ramsey Theory
Erscheinungsjahr 2006
ISBN: 978-3-540-46699-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1722, 166 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-46699-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Weitere Infos & Material
Ramsey theory and topological dynamics.- Infinitary Ramsey theory.- Density Ramsey theory.- Three ergodic roth theorems.- Two Szemerédi theorems.
