Research interests

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


  1. Flexibility of Lyapunov exponents with respect to two measures among Anosov area-preserving diffeomorphisms of a torus – in preparation
  2. Geometry and entropies in a fixed conformal class on surfaces (with Thomas Barthelm\’e) – arXiv preprint
  3. Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension (with Hamid Al-Saqban, Paul Apisa, Osama Khalil, Shahriar Mirzadeh, and Caglar Uyanik) – to appear in J. Eur. Math. Soc. (JEMS)
  4. Flexibility of entropies for surfaces of negative curvature (with Anatole Katok) – Isr. J. Math., 2019,
  5. Flexibility of Lyapunov exponents for expanding circle maps – Discrete Contin. Dyn. Syst., Vol. 39 (5), 2019, 2325-2342
  6. Flexibility of geometrical and dynamical data in fi xed conformal classes (with Thomas Barthelme) – to appear in Indiana Univ. Math. J.
  7. Lyapunov Reducibility of In finitesimal Perturbations of Equations and Systems, J. Math. Sci., Vol. 210, 2 (October, 2015), 200-209. (Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 30, Part I (2014) 145-160)