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Elemental methods in ergodic Ramsey theory / / Randall McCutcheon



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Autore: McCutcheon Randall <1965-> Visualizza persona
Titolo: Elemental methods in ergodic Ramsey theory / / Randall McCutcheon Visualizza cluster
Pubblicazione: Berlin : , : Springer, , [1999]
©1999
Edizione: 1st ed. 1999.
Descrizione fisica: 1 online resource (VI, 166 p.)
Disciplina: 515.42
Soggetto topico: Measure-preserving transformations
Ramsey theory
Classificazione: 05D10
28D05
54H05
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di contenuto: Ramsey theory and topological dynamics -- Infinitary Ramsey theory -- Density Ramsey theory -- Three ergodic roth theorems -- Two Szemerédi theorems.
Sommario/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.
Titolo autorizzato: Elemental methods in ergodic Ramsey theory  Visualizza cluster
ISBN: 3-540-46699-1
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910146313303321
Lo trovi qui: Univ. Federico II
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1722