no. 4
Towers for commuting endomorphisms, and combinatorial applications
[Tours pour endomorphismes commutants, et applications combinatoires]
Avila, Artur1, 2 ; Candela, Pablo3
1 & IMPA Estrada Dona Castorina 110 Rio de Janeiro, Brazil
2 CNRS, IMJ-PRG, UMR 7586, Univ Paris Diderot, Sorbonnes Universités UPMC Univ Paris 06 F-75013, Paris, France
3 Alfréd Rényi Institute of Mathematics 13-15 Reáltanoda utca 1056 Budapest, Hungary
Annales de l'Institut Fourier, Tome 66 (2016) no. 4, pp. 1529-1544.

Nous donnons une démonstration élémentaire du lemme de Rokhlin pour les transformations non inversibles commutantes préservant la mesure, et nous présentons des applications combinatoires.

We give an elementary proof of a generalization of Rokhlin’s lemma for commuting non-invertible measure-preserving transformations, and we present several combinatorial applications.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/aif.3042
Classification : 28D05, 37A05, 05D99, 11B30
Keywords: Rokhlin’s lemma, commuting endomorphisms, linear equations
Mot clés : Lemme de Rokhlin, endomorphismes commutants, équations linéaires.

Avila, Artur 1, 2 ; Candela, Pablo 3

1 & IMPA Estrada Dona Castorina 110 Rio de Janeiro, Brazil
2 CNRS, IMJ-PRG, UMR 7586, Univ Paris Diderot, Sorbonnes Universités UPMC Univ Paris 06 F-75013, Paris, France
3 Alfréd Rényi Institute of Mathematics 13-15 Reáltanoda utca 1056 Budapest, Hungary 
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Avila, Artur; Candela, Pablo. Towers for commuting endomorphisms, and combinatorial applications. Annales de l'Institut Fourier, Tome 66 (2016) no. 4, pp. 1529-1544. doi : 10.5802/aif.3042. https://aif.centre-mersenne.org/articles/10.5802/aif.3042/

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