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.