Research interests
Smooth Dynamical Systems, Ergodic Theory, the interplay between Dynamics, Geometry and Spectral Theory.
Publications
- Unique equilibrium states for geodesic flows on flat surfaces with singularities (with Benjamin Call, David Constantine, Noelle Sawyer, and Grace Work)- ArXiv: 2101.11806
- Riemannian Anosov extension and applications (with Dong Chen and Andrey Gogolev) – ArXiv: 2009.13665
- Flexibility of Lyapunov exponents with respect to two classes of measures on the torus – to appear in Ergod. Th. & Dynam. Sys., Anatole Katok Memorial Volume
- Geometry and entropies in a fixed conformal class on surfaces (with Thomas Barthelmé) – to appear in Annales de l’Institut Fourier
- Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension (with Hamid Al-Saqban, Paul Apisa, Osama Khalil, Shahriar Mirzadeh, and Caglar Uyanik) – J. Eur. Math. Soc. (JEMS), Vol. 23, Issue 5, 2021, 1423-1476.
- Flexibility of entropies for surfaces of negative curvature (with Anatole Katok) – Isr. J. Math., Vol. 232, Issue 2, 2019, 631-676.
- Flexibility of Lyapunov exponents for expanding circle maps – Discrete Contin. Dyn. Syst., Vol. 39 (5), 2019, 2325-2342
- Flexibility of geometric and dynamical data in fixed conformal classes (with Thomas Barthelmé) – Indiana Univ. Math. J., Vol. 69, No. 2, 2020, 513-540.
- Lyapunov Reducibility of Infinitesimal 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)