A continuous, piecewise affine surface map with no measure of maximal entropy
Dynamical Systems
2009-02-17 v1
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.
Cite
@article{arxiv.0902.2624,
title = {A continuous, piecewise affine surface map with no measure of maximal entropy},
author = {Jerome Buzzi},
journal= {arXiv preprint arXiv:0902.2624},
year = {2009}
}
Comments
11 pages; 13 color figures