The invariant measures of some infinite interval exchange maps

Geometry & Topology
Event time: 
Tuesday, October 12, 2010 - 12:30pm to Monday, October 11, 2010 - 8:00pm
431 DL
Pat Hooper
Speaker affiliation: 
Event description: 

I’ll discuss some infinite interval exchange transformations which arise in geometric settings. Examples include maps arising from periodic billiard tables, and skew products of a rotation and a group (which can be interpreted as “deterministic random walks on groups”). I’ll explain the answer to an ergodic theoretic question about some of these maps: What are the locally finite ergodic invariant measures?