SRB measures for higher dimensional singular partially hyperbolic attractors
Annales de l'Institut Fourier, Volume 67 (2017) no. 6, p. 2703-2717

We prove the existence and the uniqueness of the SRB measure for any singular hyperbolic attractor in dimension $d\ge 3$. The proof does not use Poincaré sectional maps, but uses basic properties of thermodynamical formalism.

Nous prouvons que tout attracteur partiellement hyperbolique de dimension finie et avec singularité(s) admet une unique mesure SRB. La preuve utilise des outils simples et généraux du formalisme thermodynamique et ne nécessite pas de recourir à une section de Poincaré.

Revised : 2017-01-31
Accepted : 2017-03-01
Published online : 2017-12-14
DOI : https://doi.org/10.5802/aif.3148
Classification:  37A35,  37A60,  37D20,  37D35,  47N10
Keywords: partially hyperbolic singular flows, thermodynamical formalism, equilibrium states, SRB and physical measures
@article{AIF_2017__67_6_2703_0,
author = {Leplaideur, Renaud and Yang, Dawei},
title = {SRB measures for higher dimensional singular partially hyperbolic attractors},
journal = {Annales de l'Institut Fourier},
publisher = {Association des Annales de l'institut Fourier},
volume = {67},
number = {6},
year = {2017},
pages = {2703-2717},
doi = {10.5802/aif.3148},
language = {en},
url = {http://www.numdam.org/item/AIF_2017__67_6_2703_0}
}

Leplaideur, Renaud; Yang, Dawei. SRB measures for higher dimensional singular partially hyperbolic attractors. Annales de l'Institut Fourier, Volume 67 (2017) no. 6, pp. 2703-2717. doi : 10.5802/aif.3148. http://www.numdam.org/item/AIF_2017__67_6_2703_0/

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