Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Carrasco, Pablo D."'
In this work we consider foliations of compact manifolds whose holonomy pseudo-group is expansive, and analyze their number of compact leaves. Our main result is that in the codimension-one case this number is at most finite, and we give examples of
Externí odkaz:
http://arxiv.org/abs/2310.07169
In this paper we prove that for topologically mixing Anosov flows their equilibrium states corresponding to H\"older potentials satisfy a strong rigidity property: they are determined only by their disintegrations on (strong) stable or unstable leave
Externí odkaz:
http://arxiv.org/abs/2304.13384
We show the existence of large $\mathcal C^1$ open sets of area preserving endomorphisms of the two-torus which have no dominated splitting and are non-uniformly hyperbolic, meaning that Lebesgue almost every point has a positive and a negative Lyapu
Externí odkaz:
http://arxiv.org/abs/2206.08295
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena September 2024 186
In this note we report some advances in the study of thermodynamic formalism for a class of partially hyperbolic system -- center isometries, that includes regular elements in Anosov actions. The techniques are of geometric flavor (in particular, not
Externí odkaz:
http://arxiv.org/abs/2103.09938
We consider the horocyclic flow corresponding to a (topologically mixing) Anosov flow or diffeomorphism, and establish the uniqueness of transverse quasi-invariant measures with H\"older Jacobians. In the same setting, we give a precise characterizat
Externí odkaz:
http://arxiv.org/abs/2103.07333
Publikováno v:
J. Inst. Math. Jussieu 23 (2024) 1295-1355
We develop a geometric method to establish existence and uniqueness of equilibrium states associated to some H\"older potentials for center isometries (as are regular elements of Anosov actions), in particular the entropy maximizing measure and the S
Externí odkaz:
http://arxiv.org/abs/2103.07323
Autor:
Carrasco, Pablo D., Vales, Túlio
In this note we consider a symmetric random walk defined by a $(f,f^{-1})$ Kalikow type system, where $f$ is the time-one map of the geodesic flow corresponding to an hyperbolic manifold. We provide necessary and sufficient conditions for the existen
Externí odkaz:
http://arxiv.org/abs/2007.11558
We prove the topological entropy remains constant inside the class of partially hyperbolic diffeomorphisms of $\mathbb{T}^d$ with simple central bundle (that is, when it decomposes into one dimensional sub-bundles with controlled geometry) and such t
Externí odkaz:
http://arxiv.org/abs/2001.05516
Autor:
Carrasco, Pablo D., Obata, Davi
We present an example of a $\mathcal{C}^1$-robustly transitive skew-product with non-trivial, non-hyperbolic action on homology. The example is conservative, ergodic, non-uniformly hyperbolic and its fiber directions cannot be decomposed into two dom
Externí odkaz:
http://arxiv.org/abs/1904.11788