Dynamics Seminar

Event Information Zero-temperature measures, entropy and rotation sets
15:05 on Wednesday January 10, 2018
16:00 on Wednesday January 10, 2018
See Abstract
Christian Wolf

City College of New York

Location WB 144, Wallberg Building, 184-200 College Street

Zero-temperature measures are limits of equilibrium states when the temperature goes to zero. They play an important role in statistical physics. In this talk we consider subshifts of finite type and discuss a topological classification of locally constant potentials via their zero-temperature measures. Our approach is to analyze the relationship between the distribution of the zero-temperature measures and the boundary of higher dimensional generalized rotation sets. If time permits we also discuss computability results for the entropy of zero-temperature measures. The material presented in this talk combines joint works with Yun Yang and Michael Burr.