arXiv:1712.01502 Abstract | arXiv Analytics

arXiv:1712.01502 [math.DS]Abstract References Reviews Resources

Polynomial entropy of Brouwer homeomorphisms

Published 2017-12-05Version 1

We study the polynomial entropy of the wandering part of any invertible dynamical system on a compact metric space. As an application we compute the polynomial entropy of Brouwer homeomorphisms (fixed point free orientation preserving homeomorphisms of the plane), and show in particular that it takes every real value greater or equal to 2.

Categories: math.DS

Keywords: polynomial entropy, brouwer homeomorphisms, point free orientation preserving homeomorphisms, fixed point free orientation, real value greater

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