Given a Z^d shift of finite type and a finite range shift-invariant interaction, we present sufficient conditions for efficient approximation of pressure and, in particular, topological entropy. Among these conditions, we introduce a combinatorial analog of the measure-theoretic property of Gibbs measures known as strong spatial mixing and we show that it implies many desirable properties in the context of symbolic dynamics. Next, we apply our results to classical statistical mechanics models for certain subsets of both the subcritical and supercritical regimes. The approximation techniques make use of a special representation theorem for pressure that may be of independent interest. This is joint work with Stefan Adams, Brian Marcus, and Ronnie Pavlov.
Tuesday, 1 November, 2016 - 14:00 to 15:00
Repeats every week every Tuesday until Tue Jan 24 2017 except Tue Nov 01 2016
Manchester building, Hebrew University of Jerusalem, (Room 209)