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
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
Pablo D. Carrasco, Federico Rodriguez Hertz
To appear in Israel Journal of Mathematics, 2022
Geometrical constructions of equilibrium states
Pablo D. Carrasco, Federico Rodriguez Hertz
Mathematics Research Reports, vol. 2, 2021, pp. 45-54