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Polynomial entropy of Brouwer homeomorphisms

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 Added by Frederic Le Roux
 Publication date 2017
  fields
and research's language is English
 Authors Louis Hauseux




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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.

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