Research
My research focuses on dynamical systems, and interactions with geometry and topology. I am particularly interested in partially hyperbolic diffeomorphisms, Anosov flows, foliation theory, manifolds, and realated things.
Preprints
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E. Gomes, S. Martinchich, R. Potrie; Invariant sets for homeomorphisms of hyperbolic 3-manifolds, preprint 2025, (arXiv)
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S. Martinchich; Partially hyperbolic diffeomorphisms that are center fixing, preprint 2024, (arXiv)
Publications
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M. Espitia, S. Martinchich, R. Potrie; Quasi-isometric center action in dimension 3, Proceedings of the American Mathematical Society, 153 (2025), 4713-4725. (arXiv)
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S. Martinchich; Global stability of discretized Anosov flows, Journal of Modern
Dynamics, 5 (2023), 561–623. (arXiv)
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N. Guelman, S. Martinchich; Uniqueness of minimal unstable lamination for
discretized Anosov flows, Mathematische Zeitschrift, (2022) 300, 1401–1419. (arXiv)
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V. De Martino, S. Martinchich; Codimension one compact center foliations are
uniformly compact, Ergodic Theory and Dynamical Systems, 40 (2020) 9, 2349-2367. (arXiv)
Others
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PhD Thesis: Contributions to the study of discretized Anosov flows, Université Paris-Saclay and Universidad de la República (2023). (link)
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Master's thesis: Difeomorfismos parcialmente hiperbólicos de codimensión uno con foliación central compacta, Universidad de la República, 2019. (link)
Recent talks
Conference talks
- 9th Coloquio Uruguayo de Matemática , Montevideo, Uruguay. Dic 2025.
- 8th Brazilian School of Dynamical Systems , IMPA, Rio de Janeiro, Brazil. Nov 2025.
- Beyond uniform hyperbolicity , ICTP, Trieste, Italy. Jun 2025.
- 108th EDAÍ , Rio de Janeiro, Brazil. Nov 2024.
- 7th Dynamical Systems Workshop , UFRGS, Porto Alegre, Brazil. Nov 2023.
- Workshop de Topología e Dinâmica (online), Universidade Federal Fluminense, Brazil. Mar 2022.
- Workshop: New trends in Lyapunov exponents , Universidade de Lisboa, Portugal. Feb 2022.
Seminar talks
- Ergodic Theory and Dynamical Systems seminar , University of Bristol, UK. Oct 2025.
- Seminaire de Théorie Ergodique et Systèmes Dynamiques, Université Paris-Saclay, France. Sept 2025.
- Dynamical systems seminar , University de la República, Uruguay. Jun 2025.
- Seminario de dinâmica da UFC, Fortaleza, Brazil. Oct 2023.
- Dynamics, Geometry and Groups seminar (online), Queen's University, Canada. Mar 2022.
- Seminaire des doctorants, Institut de Mathématiques de Burgogne, France. Jan 2022.
- Seminaire de Théorie Ergodique et Systèmes Dynamiques, Université Paris-Saclay, France. Oct 2021.
Instituto de Estadística
Facultad de Ciencias Económicas y de Administración
Gonzalo Ramirez 1926, 11200, Montevideo, Uruguay
santiago.martinchich@fcea.edu.uy