Dynamical Systems Seminar

Title: Entropies realizable in block gluing Z^d shifts of finite type
Speaker: Michael Schraudner
Speaker Info: University of Chile
Brief Description:
Special Note:

Hochman and Meyerovitch gave a complete characterization of the topological entropies appearing in Z^d shifts of finite type (SFTs) for any d>1. Nevertheless their method of construction is quiet rigid and yields only relatively degenerate Z^d SFTs lacking any (uniform) mixing property and being a specific extension of a non-trivial zero-entropy subshift factor. In this talk - after giving some basic definitions and explaining some background on uniform mixing properties like block gluing - we will give a necessary condition for a real number to be realizable as the topological entropy of a block gluing Z^d SFT. Subsequently we will present a new technique - combining an elaboration of the Hochman-Meyerovitch construction with two new ideas - to actually realize a large class of well-behaved real numbers as entropies of block gluing Z^d SFTs for any d>2. As a final corollary we get a result about the non-existence of certain entropy-preserving Z^d full-shift factors in the presence of block gluing. The presented results are recent joint work with Ronnie Pavlov.
Date: Tuesday, March 27, 2012
Time: 3:00PM
Where: Lunt 105
Contact Person: Prof. Bryna Kra
Contact email: kra@math.northwestern.edu
Contact Phone: 847-491-5567
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