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


Equilibrium states for center isometries


Pablo D. Carrasco, Federico Rodriguez Hertz


arXiv 2103.07323, 2021



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


Geometrical constructions of equilibrium states


Pablo D. Carrasco, Federico Rodriguez Hertz


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


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