Assistant professor at the Department of Mathematics of the Universidad de Chile.

Research

Research interests

Translation surfaces

Polygonal billiard

Teichmüller theory

Preprints

📄 The Convergence Rates of Blockchain Mining Games: A Markovian Approach

with Alejandro Jofré, David Salas, Victor Verdugo and José Verschae

arXiv

📄 Cone types and asymptotic invariants for the random walk on the modular group

arXiv

📄 A remark on free abelian covers of Veech surfaces

arXiv

Journal

📄 Diffusion rate in non generic directions in the wind-tree model

with Sylvain Crovisier, Pascal Hubert and Erwan Lanneau

Advances in Mathematics 479 (2025), 110419

DOI arXiv

📄 Permutations of periodic points of Weierstrass Prym eigenforms

with Rodolfo Gutiérrez-Romo

Discrete and Continuous Dynamical Systems 45 (2025), 4160-4185

DOI arXiv

📄 Permutations of periodic points of Veech surfaces in H(2)

with Rodolfo Gutiérrez-Romo

Journal of Modern Dynamics 20 (2024), 379-407

DOI arXiv

📄 Square-tiled tori

Discrete and Continuous Dynamical Systems 43 (2023), 1926-1941

DOI arXiv

📄 Quantitative error term in the counting problem of Veech wind-tree models

Annali della Scuola normale superiore di Pisa - Classe di scienze XXI (2020), 495-534

DOI arXiv

📄 A non-varying phenomenon with an application to the wind-tree model

International Mathematics Research Notices 18 (2020), 5642-5660

DOI arXiv

📄 Counting problem on wind-tree models

Geometry & Topology 22 (2018), 1483-1536

DOI arXiv

Thesis

📕 Comptage d’orbites périodiques dans le modèle de windtree

Advisor: Pascal Hubert

Defended on June 22, 2017, at the Université d'Aix-Marseille

theses.fr