WM groups and Ramsey theory

Vitaly Bergelson; Hillel Furstenberg

doi:10.1016/j.topol.2009.04.007

WM groups and Ramsey theory

Vitaly Bergelson, Hillel Furstenberg

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

For amenable groups there are "correspondence principles" relating the behavior under group translation for sets of positive density to that of sets of positive invariant measure for ergodic actions of the group. When the group is also "minimally almost periodic" such actions are automatically weakly mixing; hence the name WM groups. We study here the combinatorial consequences of this state of affairs.

Original language	English
Pages (from-to)	2572-2580
Number of pages	9
Journal	Topology and its Applications
Volume	156
Issue number	16
DOIs	https://doi.org/10.1016/j.topol.2009.04.007
State	Published - 1 Oct 2009
Externally published	Yes

Bibliographical note

Funding Information:
E-mail addresses: [email protected] (V. Bergelson), [email protected] (H. Furstenberg). 1 The first author was supported by NSF grant DMS-0600042.

Funding

E-mail addresses: [email protected] (V. Bergelson), [email protected] (H. Furstenberg). 1 The first author was supported by NSF grant DMS-0600042.

Funders	Funder number
National Science Foundation	DMS-0600042
Directorate for Mathematical and Physical Sciences	0600042

Keywords

Amenable
Hindman's theorem
Minimally almost periodic
Ultrafilter
Weak mixing

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10.1016/j.topol.2009.04.007

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author = "Vitaly Bergelson and Hillel Furstenberg",

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AU - Furstenberg, Hillel

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KW - Hindman's theorem

KW - Minimally almost periodic

KW - Ultrafilter

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ER -

WM groups and Ramsey theory

Abstract

Bibliographical note

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Keywords

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