Research interests

Smooth Dynamical Systems, Ergodic Theory, the interplay between Dynamics, Geometry and Spectral Theory.

Publications

1. Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension (with Hamid Al-Saqban, Paul Apisa, Osama Khalil, Shahriar Mirzadeh, and Caglar Uyanik) – submitted
2. Flexibility of entropies for surfaces of negative curvature (with Anatole Katok) – submitted
3. Flexibility of exponents for expanding maps on a circle – submitted
4. Flexibility of geometrical and dynamical data in fixed conformal classes (with Thomas Barthelme) – submitted
5. Lyapunov Reducibility of Infinitesimal Perturbations of Equations and Systems, Journal of Mathematical Sciences, Vol. 210, 2 (October, 2015), 200-209. (Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 30, Part I (2014) 145-160)