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


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

To appear in Journal of the Institute of Mathematics of Jussieu, 2023


Geometrical constructions of equilibrium states


Pablo D. Carrasco, Federico Rodriguez Hertz

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

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