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.
(2024) On the structure of the Birkhoff-irregular set for subshifts of finite type. Preprint (arXiv).Â
(2023) Decay of correlations for some non-uniformly hyperbolic attractors. Discrete and Continuous Dynamical Systems 44, no. 3 (2024): 835-854.