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.
|Number of pages||9|
|Journal||Topology and its Applications|
|State||Published - 1 Oct 2009|
Bibliographical noteFunding Information:
E-mail addresses: firstname.lastname@example.org (V. Bergelson), email@example.com (H. Furstenberg). 1 The first author was supported by NSF grant DMS-0600042.
- Hindman's theorem
- Minimally almost periodic
- Weak mixing