Speaker
Dr. Christian Wolf, Professor and Department Head, Department of Mathematics and Statistics, Mississippi State University
Title
Mathematics Seminar Series
Subtitle
Measures of maximal entropy on coded shift spaces: Uniqueness and computability
Physical Location
Allen 411
Abstract:
In this talk, we present results about the uniqueness and computability of measures of maximal entropy on coded shift spaces. A coded shift space is defined as the closure of all bi-infinite concatenations of words from a fixed countable generating set. We derive sufficient conditions for the uniqueness of measures of maximal entropy based on a partition of the coded shift into its concatenation set (sequences that are concatenations of generating words) and its residual set (sequences added under the closure). We also discuss flexibility results for the entropy on the concatenation and residual sets. Finally, we discuss the computability (in the sense of computable analysis) of measures of maximal entropy for coded shift spaces. The results presented in this talk are joint work with Tamara Kucherenko, Marco Lopez, and Martin Schmoll.
Note:
Contact Prof. Shantia Yarahmadian at syarahmadian@math.msstate.edu or (662) 325-7143 for additional information.