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Polynomial entropy of Brouwer homeomorphisms

Authors :
Hauseux, Louis
Roux, Frédéric Le
Publication Year :
2017

Abstract

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.

Subjects

Subjects :
Mathematics - Dynamical Systems

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1712.01502
Document Type :
Working Paper