EVENT DETAILS AND ABSTRACT

Title: Global behaviour of piecewise isometries
Speaker: Anthony Quas
Speaker Info: University of Victoria
Brief Description:
Special Note:
Abstract:

We consider a simple family of bijective piecewise isometries of the plane in which two halves of the plane are slid relative to each other and the entire plane is then rotated. For these maps, we prove the existence of an infinite number of `periodic islands' and use geometric properties to show that the maps satisfy a recurrence property (in spite of the fact that the underlying measure is infinite). We state a number of open questions. (joint work with Arek Goetz)