Dynamical Systems Seminar

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

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.
Date: Tuesday, February 14, 2012
Time: 4:00PM
Where: Lunt 105
Contact Person: Prof. Bryna Kra
Contact email: kra@math.northwestern.edu
Contact Phone: 847-491-5567
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