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
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
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
