One of my main research interests is smooth ergodic theory, more specifically non-uniformly hyperbolic diffeomorphisms and its statistical properties with respect to some natural invariant measure. Another of my main interests is thermodynamic formalism, and its applications to dimension theory. I am also interested in symbolic dynamics, more specifically countable state Markov shifts.
Irregular sets in dynamical systems: a survey. (with Y. Pesin) Theory of Probability and its Applications, Special Issue (dedicated to Y. Sinai), v.70, N4 (2025)3–9.
On the structure of the Birkhoff-irregular set for subshifts of finite type. Discrete and Continuous Dynamical Systems 49 (2026): 248–265.
Decay of correlations for some non-uniformly hyperbolic attractors. Discrete and Continuous Dynamical Systems 44, no. 3 (2024): 835-854.
Master Thesis: Multifractal analysis of Birkhoff averages over the symbolic space. Pontificia Universidad Católica de Chile, 2019.