[Tours pour endomorphismes commutants, et applications combinatoires]
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.
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Keywords: Rokhlin’s lemma, commuting endomorphisms, linear equations
Mot clés : Lemme de Rokhlin, endomorphismes commutants, équations linéaires.
@article{AIF_2016__66_4_1529_0,
author = {Avila, Artur and Candela, Pablo},
title = {Towers for commuting endomorphisms, and combinatorial applications},
journal = {Annales de l'Institut Fourier},
pages = {1529--1544},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {66},
number = {4},
year = {2016},
doi = {10.5802/aif.3042},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.3042/}
}
TY - JOUR AU - Avila, Artur AU - Candela, Pablo TI - Towers for commuting endomorphisms, and combinatorial applications JO - Annales de l'Institut Fourier PY - 2016 SP - 1529 EP - 1544 VL - 66 IS - 4 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.3042/ DO - 10.5802/aif.3042 LA - en ID - AIF_2016__66_4_1529_0 ER -
%0 Journal Article %A Avila, Artur %A Candela, Pablo %T Towers for commuting endomorphisms, and combinatorial applications %J Annales de l'Institut Fourier %D 2016 %P 1529-1544 %V 66 %N 4 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.3042/ %R 10.5802/aif.3042 %G en %F AIF_2016__66_4_1529_0
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. http://www.numdam.org/articles/10.5802/aif.3042/
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