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:

1. Thermodynamic formalism for maps with infinite Markov partitions

2. Sub-exponential decay of correlations

3. Horocycle flows on hyperbolic surfaces of infinite genus

4. Markov partitions for non-uniformly hyperbolic dynamical systems

5. Skew products over irrational rotations

6. Temporal distributional limit theorems