Monday 30 Oct 2017: Dynamics Seminar: Topological conjugacies between expanding interval maps
Thomas Jordan - Bristol
Topological conjugacies between expanding interval maps are usually either smooth or singular (0 derviative almost everywhere) and they tend only to be smooth in exceptional cases. We’ll look at the typical case which is when they are singular and study the Hausdorff dimension of the set of points where the derivative is non zero. The study of this quantity involves use of thermodynamic formalism. In particular we will show that in the countable branch case this is more robust measure of how far apart dynamical systems are than other quantities such as comparing metric entropy. Joint work with Sara Munday and Tuomas Sahlsten.