From Rates of mixing to recurrence times via large deviations

Autor: Sandro Vaienti, José F. Alves, Jorge Milhazes Freitas, Stefano Luzzatto

Publikováno v: Advances in Mathematics
Advances in Mathematics, 2011, 228 (2), pp.1203-1230. ⟨10.1016/j.aim.2011.06.014⟩
Advances in Mathematics, Elsevier, 2011, 228, pp.1203-1230

International audience; A classic approach in dynamical systems is to use particular geometric structures to deduce statistical properties, for example the existence of invariant measures with stochastic-like behaviour such as large deviations or dec

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ff3c9b0d89ecd05c03487b40a16d785
https://hal.science/hal-00957684

Gibbs-Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction

Autor: José F. Alves, Vilton Pinheiro

We consider a partially hyperbolic set $K$ on a Riemannian manifold $M$ whose tangent space splits as $T_K M=E^{cu}\oplus E^{s}$, for which the centre-unstable direction $E^{cu}$ expands non-uniformly on some local unstable disk. We show that under t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3c64f7ec5fc2e9656bccbe59a16a5c8

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