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

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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

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Dynamical Systems, 37A35; 37A40; 37E99

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http://salesiana.dossiersoluciones.com/handle/123456789/219998

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.2624
 http://arxiv.org/abs/0902.2624

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arXiv