Zobrazeno 1 - 10
of 332
pro vyhledávání: '"Carrasco,Pablo"'
Autor:
Carrasco, Pablo, Muñoz, Gonzalo
The non-convex nature of trained neural networks has created significant obstacles in their incorporation into optimization models. Considering the wide array of applications that this embedding has, the optimization and deep learning communities hav
Externí odkaz:
http://arxiv.org/abs/2410.23362
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
Autor:
Carrasco, Pablo, Hernández, Rodrigo
The main purpose of this paper is to obtain sharp bounds of the norm of Schwarzian derivative for convex mappings of order $alpha$ in terms of the value of $f''(0)$, in particular, when this quantity is equal to zero. In addition, we obtain sharp bou
Externí odkaz:
http://arxiv.org/abs/2211.13563
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, Saghin, Radu
Bochi-Katok-Rodriguez Hertz proposed in [BKH21] a program on the flexibility of Lyapunov exponents for conservative Anosov diffeomorphisms, and obtained partial results in this direction. For conservative Anosov diffeomorphisms with strong hyperbolic
Externí odkaz:
http://arxiv.org/abs/2101.07089