A Szemeredi--Type Theorem for Non-Amenable Groups <br><em><br/><br/>Introduced by: Jeff Kahn</em>

Thursday, November 29, 2012 - 2:00pm - 3:00pm
Keller 3-180
Hillel Furstenberg (Hebrew University)
Let G be a group and m a probability measure on G. One can speak of a stationary (rather than invariant) density on G, and for an action of G on a compact space X one can talk of a stationary (rather than invariant)
measure on X. One can also establish a correspondence principle in this setting, and also prove multiple recurrence for stationary actions. These ideas lead to a general Szemeredi-type theorem, which is quite explicit for finitely generated free groups as well as for certain infinite regular graphs.
MSC Code: