Aspects of uniformity in recurrence

Vitaly Bergelson, Bernard Host, Randall McCutcheon, Franiçois Parreau

Type: Article

Publication Date: 2000-01-01

Citations: 40

DOI: https://doi.org/10.4064/cm-84/85-2-549-576

Abstract

We analyze and cite applications of various, loosely related notions of uniformity inherent to the phenomenon of (multiple) recurrence in ergodic theory. An assortment of results are obtained, among them sharpenings of two theorems due to Bourgain. The fi

Locations

Colloquium Mathematicum - View - PDF

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Works Cited by This (15)

Action	Title	Year	Authors
+ PDF Chat	On sets of integers containing k elements in arithmetic progression	1975	Endre Szemerédi
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+ PDF Chat	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman
+	Some results on non-linear recurrence	1994	Vitaly Bergelson Michael Boshernitzan Jean Bourgain
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg
+	Locally compact measure preserving flows	1975	Douglas Lind
+	A nonlinear version of Roth's theorem for sets of positive density in the real line	1988	Jean Bourgain
+	Sets of Recurrence of Z<sup>m</sup> -Actions and Properties of Sets of Differences in Z<sup>m</sup>	1985	Vitaly Bergelson
+	Integer Sets Containing No Arithmetic Progressions	1987	D. R. Heath‐Brown
+	A szemerédi type theorem for sets of positive density inR k	1986	Jean Bourgain