I work in **ergodic theory **and **dynamical systems**. I am interested in the stochastic behavior of deterministic dynamical systems, especially those which are **non-uniformly hyperbolic**, or which act on **non-compact spaces**, or which possess natural **infinite invariant measures**.

Here are some of the topics I have worked on in the past:

- Thermodynamic formalism for maps with infinite Markov partitions
- Sub-exponential decay of correlations
- Horocycle flows on hyperbolic surfaces of infinite genus
- Markov partitions for non-uniformly hyperbolic dynamical systems
- Skew products over irrational rotations
- Temporal distributional limit theorems
- Local limit theorems for inhomogeneous Markov chains