Publications

1. Lorenz attractors without invariant foliations (with Stefano Luzzatto, Marcelo Viana). In preparation.

2. Ergodicity of geodesic flow on nonpositively curved surfaces. In preparation

3. Counting geodesic loops on surfaces of genus at least 2 without conjugate points (with Mark Pollicott). Preprint arXiv:2309.14099

4. Proof of the Verjovsky Conjecture. Preprint arXiv:2309.10944  

5. Closed geodesics on surfaces without conjugate points ( with  Vaughn Climenhaga, Gerhard Knieper) Communications in Contemporary Mathematics, 24 (2022) No. 06, 2150067.

6. Uniqueness of the measure of maximal entropy for geodesic flow on certain manifolds without conjugate points  (With Vaughn Climenhaga, Gerhard Knieper) Advances in Mathematics, 376 (2021), 107452.

7. Open Sets of Exponentially Mixing Anosov Flows (with Oliver Butterley). To appear in Journal of the European Mathematical Society.

8. Integrability of Continuous Bundles (with Stefano Luzzatto, Sina Tureli). To appear in Journal für die reine und angewandte Mathematik [Crelle's Journal].

9. Integrability of dominated decompositions on three-dimensional manifolds (with Stefano Luzzatto, Sina Tureli). Ergodic Theory and Dynamical Systems, 37 (2), 606–620, 2017.

10. A Frobenius Theorem for Corank-1 Continuous Distributions in Dimensions two and three (with Stefano Luzzatto, Sina Tureli). International Journal of Mathematics, 27 (8), 1650061, 30 pp, 2016.

11. Integrability of C^1 invariant splittings (with Stefano Luzzatto, Sina Tureli). Dynamical systems an international journal, 31 (1), 79–88, 2016.

12. On the Upper Bound for Sub-Riemmanian Distance of Codimension 1 Holder Distributions (with Sina Tureli). Preprint.

13. Integrability of continuous bundles and applications to dynamical systems. Ph.D. thesis, ICTP/SISSA.

View these articles on MathSciNet or the arXiv.