[Ergodicité du modèle vent–arbre des Ehrenfest]
Nous considérons une modèle apériodique de vent dans des arbres et nous montrons que, pour une configuration générique (dans le sens de Baire), la dynamique de vent–arbre est ergodique dans presque toutes les directions.
We consider aperiodic wind–tree models, and show that, for a generic (in the sense of Baire) configuration, the wind–tree dynamics is ergodic in almost every direction.
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@article{CRMATH_2016__354_10_1032_0,
author = {M\'alaga Sabogal, Alba and Troubetzkoy, Serge},
title = {Ergodicity of the {Ehrenfest} wind{\textendash}tree model},
journal = {Comptes Rendus. Math\'ematique},
pages = {1032--1036},
publisher = {Elsevier},
volume = {354},
number = {10},
year = {2016},
doi = {10.1016/j.crma.2016.08.008},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2016.08.008/}
}
TY - JOUR AU - Málaga Sabogal, Alba AU - Troubetzkoy, Serge TI - Ergodicity of the Ehrenfest wind–tree model JO - Comptes Rendus. Mathématique PY - 2016 SP - 1032 EP - 1036 VL - 354 IS - 10 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2016.08.008/ DO - 10.1016/j.crma.2016.08.008 LA - en ID - CRMATH_2016__354_10_1032_0 ER -
%0 Journal Article %A Málaga Sabogal, Alba %A Troubetzkoy, Serge %T Ergodicity of the Ehrenfest wind–tree model %J Comptes Rendus. Mathématique %D 2016 %P 1032-1036 %V 354 %N 10 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2016.08.008/ %R 10.1016/j.crma.2016.08.008 %G en %F CRMATH_2016__354_10_1032_0
Málaga Sabogal, Alba; Troubetzkoy, Serge. Ergodicity of the Ehrenfest wind–tree model. Comptes Rendus. Mathématique, Tome 354 (2016) no. 10, pp. 1032-1036. doi : 10.1016/j.crma.2016.08.008. http://www.numdam.org/articles/10.1016/j.crma.2016.08.008/
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