EVENT DETAILS AND ABSTRACT

Title: A Low Complexity Alpern Decomposition of R^d Actions
Speaker: Ayse Sahin
Speaker Info: DePaul University
Brief Description:
Special Note:
Abstract:

Generalizing a result of Alpern, Rudolph showed that the orbits of any measurable, measure preserving R^d action can be measurably tiled by 2^d rectangles and asked if this number of tiles is optimal. In joint work with B. Kra and A. Quas, we show that d+1 tiles suffice. Furthermore, for flows with completely positive entropy, this bound is optimal.