no. 2
Hyperbolic systems on nilpotent covers
[Systèmes hyperboliques sur des revêtements nilpotents]
Bulletin de la Société Mathématique de France, Tome 131 (2003) no. 2, pp. 267-287.

Nous étudions les propriétés ergodiques des feuilletages stables forts et faibles des systèmes hyperboliques définis sur un revêtement nilpotent. Les chaînes de Markov et les flots géodésiques en courbure négative sont aussi étudiés.

We study the ergodicity of the weak and strong stable foliations of hyperbolic systems on nilpotent covers. Subshifts of finite type and geodesic flows on negatively curved manifolds are also considered.

DOI : 10.24033/bsmf.2443
Classification : 37D10, 37D20, 37D40
Keywords: covering space, ergodic theory, geodesic flow, hyperbolic flow, invariant manifolds, Markov chain
Mot clés : chaine de Markov, feuilletage stable, flot hyperbolique, flot géodésique, revêtement, théorie ergodique 
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     title = {Hyperbolic systems on nilpotent covers},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {267--287},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {131},
     number = {2},
     year = {2003},
     doi = {10.24033/bsmf.2443},
     mrnumber = {1988950},
     zbl = {1025.37021},
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Coudene, Yves. Hyperbolic systems on nilpotent covers. Bulletin de la Société Mathématique de France, Tome 131 (2003) no. 2, pp. 267-287. doi : 10.24033/bsmf.2443. http://www.numdam.org/articles/10.24033/bsmf.2443/

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