Seminar 2.11.16 Todd

Speaker: Mike Todd (St. Andrews)

Title: Continuity of measures

Abstract: Given a convergent family of interval maps and the associated family of SRB measures, one might hope that the measures would converge to the SRB measure of the limit map.  In non-uniformly hyperbolic systems, this naive approach can fail. I’ll give sharp conditions on precisely when this failure occurs for a very general class of maps. This is part of a wider study of continuity of thermodynamic quantities in collaboration with Neil Dobbs.