Volume 2 (2019)
Hauseux, Louis;  Le Roux, Frédéric
Entropie polynomiale des homéomorphismes de Brouwer
Annales Henri Lebesgue, Volume 2 (2019), pp. 39-57.

Metadata

DOI10.5802/ahl.12
Keywords polynomial entropy, Brouwer homeomorphisms, wandering set

Abstract

Nous nous proposons d’étudier l’entropie polynomiale de la composante errante de n’importe quel système dynamique topologique inversible. Pour illustrer cette étude, nous calculerons l’entropie polynomiale de divers homéomorphismes de Brouwer, qui sont les homéomorphismes du plan sans point fixe et préservant l’orientation. En particulier, nous verrons que l’entropie polynomiale de tels homéomorphismes peut prendre n’importe quelle valeur supérieure ou égale à 2.


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