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

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

2009-02-16

arxiv.org/abs/0902.2624v1

Mathematics

Dynamical Systems

11 pages; 13 color figures

Scientific paper

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.

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