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
Thermodynamic formalism for Quasi-Morphisms: Bounded Cohomology and Statistics
Pablo D. Carrasco, F. Rodriguez-Hertz
Non uniformly hyperbolic systems
Non-uniformly hyperbolic endomorphisms
Martin Andersson, Pablo D. Carrasco, Radu Saghin
to appear in Compositio Mathematica
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
On the Number of Periodic Points for Expansive Pseudo-Groups
Pablo D. Carrasco, Elias Rego, Jana Rodriguez-Hertz
Chaos, Solitons and Fractals, vol. 186, 2024
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
Rigidity of equilibrium states and unique quasi-ergodicity for horocyclic foliations
Pablo D. Carrasco, Federico Rodriguez-Hertz
Bulletin of the B.M.S., Volume 56
Pablo D. Carrasco, Federico Rodriguez Hertz
Israel Journal of Mathematics, 2023
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