Publications


I'm a dynamicist. My interests are diverse, but they are centered in partially hyperbolic systems (in particular, their geometrical properties) and smooth ergodic theory (non-uniformly hyperbolic systems and thermodynamic formalism for partially hyperbolic maps). All my publications can be found here and also at arXiv (link)

Preprints


Non-uniformly hyperbolic endomorphisms


Martin Andersson, Pablo D. Carrasco, Radu Saghin

arXiv:2206.08295


Rigidity of equilibrium states and unique quasi-ergodicity for horocyclic foliations


Pablo D. Carrasco, Federico Rodriguez-Hertz

arXiv:2304.13384


On the Number of Periodic Points for Expansive Pseudo-Groups


Pablo D. Carrasco, Elias Rego, Jana Rodriguez-Hertz

arXiv:2310.07169, 2023


Non uniformly hyperbolic systems


Extended flexibility of Lyapunov exponents for Anosov diffeomorphisms


Pablo D. Carrasco, Radu Saghin

Transactions of the American Math. Society, vol. 375(5), 2022, pp. 3411–3449


A new example of robustly transitive diffeomorphism


Pablo D. Carrasco, Davi Obata

Math Research Letters, vol. 8(3), 2021, pp. 665-679


Random Products of Standard Maps


Pablo D. Carrasco

Communications in Mathematical Physics, vol. 377(2), 2020, pp. 773-810


Non-Uniformly Hyperbolic Diffeomorphisms Derived from the Standard Map


Pierre Berger, Pablo D. Carrasco

Communications in Mathematical Physics, vol. 329(1), 2014, pp. 239-262


Foliations and Dynamics


Symbolic dynamics for normally hyperbolic foliations


Pablo D. Carrasco

Dynamical Systems, vol. 33(3), 2018, pp. 419-440


Compact dynamical foliations


Pablo D. Carrasco

Ergodic Theory and Dynamical Systems, vol. 35(8), 2015, pp. 2474-2498


Partially Hyperbolic Systems


Invariance of entropy for maps isotopic to Anosov


Pablo D. Carrasco, Cristina Lizana, Enrique Pujals, Carlos H. Vásquez

Nonlinearity, vol. 34(3), 2021, pp. 1612-1632


Classification of partially hyperbolic diffeomorphisms under some rigid conditions


Pablo D. Carrasco, Enrique Pujals, Federico Rodriguez Hertz

Ergodic Theory and Dynamical Systems, vol. 41(9), 2021, pp. 2770-2781


A symmetric Random Walk defined by the time-one map of a geodesic flow


Pablo D. Carrasco, Túlio Vales

Discrete and Continuous Dynamical Systems - A, vol. 41(6), 2021, pp. 2891-2905


Partial Hyperbolicity in Dimension Three


Pablo D. Carrasco, Federico Rodriguez Hertz, Jana Rodriguez Hertz, Raúl. Ures

Ergodic Theory and Dynamical Systems, vol. 8(31), 2018, pp. 2801-2837


Equilibrium States


Equilibrium states for center isometries


Pablo D. Carrasco, Federico Rodriguez-Hertz

Journal of the Institute of Mathematics of Jussieu, First view, 2023, pp. 1--61


Geometrical constructions of equilibrium states


Pablo D. Carrasco, Federico Rodriguez Hertz

Mathematics Research Reports, vol. 2, 2021, pp. 45-54

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