Wesleyan Dynamics and Analysis (DnA) Seminar

Fall 2017

Tuesdays at 12:10p in Exley 638

Organizers: Ilesanmi Adeboye, Dave Constantine, Adam Fieldsteel, Han Li, Felipe Ramirez

Date Speaker Title and Abstract
Sept 12

Sept 19 Tamara Kucherenko
Measures of maximal entropy for suspension flows over the full shift

We consider suspension flows with continuous roof function over the full shift on a finite alphabet. For any positive entropy subshift of finite type Y, we show there exists a roof function such that the measure(s) of maximal entropy for the suspension flow over the full shift are exactly the lifts of the measure(s) of maximal entropy for Y. In the case when Y is transitive, this gives a unique measure of maximal entropy for the flow which is not fully supported. If Y has more than one transitive component, all with the same entropy, this gives explicit examples of suspension flows over the full shift with multiple measures of maximal entropy. This contrasts with the case of a Hölder continuous roof function where it is well known the measure of maximal entropy is unique and fully supported. This is joint work with Dan Thompson.

Sept 26

Oct 3 No meeting (faculty meeting)

Oct 10

Oct 17 Thang Nguyen

Oct 24 No meeting (Fall Break)

Oct 31 Shahriar Mirzadeh

Nov 7

Nov 14 No meeting (faculty meeting)

Nov 21

Nov 28

Dec 5 No meeting (faculty meeting)