Elemental Methods in Ergodic Ramsey Theory (Lecture Notes in Mathematics)

Randall McCutcheon

ISBN 10: 3540668098 / ISBN 13: 9783540668091

Editore: Springer Berlin Heidelberg 2010-06-02, 2010

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Dati bibliografici

• Titolo: Elemental Methods in Ergodic Ramsey Theory (Lecture Notes in Mathematics)
• Editore: Springer Berlin Heidelberg 2010-06-02
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 3540668098
• ISBN 13: 9783540668091
• Rilegatura: Paperback
• Condizione: New

Descrizione articolo

Riassunto

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.

Contenuti

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