A continuous, piecewise affine surface map with no measure of maximal entropy

Abstract

It is known that piecewise affine surface homeomorphisms always have measures of maximal entropy. This is easily seen to fail in the discontinuous case. Here we describe a piecewise affine, globally continuous surface map with no measure of maximal entropy.

11 pages; 13 color figures

Cited by in corpus (1)

• C^r surface diffeomorphisms with no maximal entropy measure