Pure Maths Colloquium: José Ferreira Alves

This talk is part of the Pure Maths Colloquium at the University of St Andrews. Check out our upcoming talks at https://theran.lt/pure-colloquium/.

Where: Lecture Theatre C
When: Apr 25 2019 @ 16.00
Video: Not recorded
Speaker: José Ferreira Alves University of Porto
Title: Entropy formula and continuity of entropy for piecewise expanding maps

We consider some classes of piecewise expanding maps in finite dimensional spaces with absolutely continuous (with respect to Lebesgue measure) invariant probability measures and derive an entropy formula for such measures. Using this entropy formula, we present sufficient conditions for the continuity of that entropy in certain parametrized families of maps. We apply our results to a family of higher dimensional tent maps. Joint work with Antonio Pumariño.