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I am an assistant professor at Brigham Young University. I study dynamical systems and ergodic theory. I am particularly interested in smooth ergodic theory, rigidity problems, statistical properties of dynamical systems and hyperbolic dynamics. Before coming to BYU, I was a Dickson Instructor at the University of Chicago. I completed my Ph.D. in 2019 at the Université Paris-Saclay, under the supervision of Sylvain Crovisier, and at the Universidade Federal do Rio de Janeiro (UFRJ), under the supervision of Alexander Arbieto. My research is supported by the NSF under the grant number DMS-2349380.
You can find my CV here.
Published articles
Published articles
Uniqueness of u-Gibbs measures for hyperbolic skew products on T⁴ (with Sylvain Crovisier and Mauricio Poletti), to appear at Communications of Mathematical Physics, 2024.
Rigidity of u-Gibbs measures near conservative Anosov diffeomorphisms on T³ (with Sebastien Alvarez, Martin Leguil and Bruno Santiago), to appear at Journal of the European Mathematical Society, 2024.
Open sets of partially hyperbolic skew products having a unique SRB measure, Advances in Mathematics, 2023.
Uniqueness of the measure of maximal entropy for the standard map, Commentarii Mathematici Helvetici, 2021.
On the genericity of positive exponents of conservative skew products with two-dimensional fibers (with Mauricio Poletti), Journal of Dynamics and Differential Equations, 2021.
New examples of stably ergodic diffeomorphisms in dimension 3 (with Gabriel Nuñez and Jana Rodriguez Hertz), Nonlinearity, 2021.
Symmetries of vector fields: the diffeomorphism centralizer, Discrete and Continuous Dynamical Systems, 2021.
On the centralizer of vector fields: Criteria of triviality and genericity results (with Martin Leguil and Bruno Santiago), Mathematische Zeitschrift, 2020.
A new example of robustly transitive diffeomorphism (with Pablo Carrasco), Mathematical Research Letters, 2020.
On the stable ergodicity of Berger-Carrasco's example, Ergodic Theory and Dynamical Systems, 2020.
On the stable ergodicity of diffeomorphisms with dominated splitting, Nonlinearity, 2019.
On attractors and their basins (with Alexander Arbieto), Involve, a Mathematical Journal, 2015.
On bi-Lyapunov stable homoclinic classes (with Alexander Arbieto, Bernardo Carvalho and Welington Cordeiro), Bulletin of the Brazillian Mathematical Society, New Series, 2013.
Preprints
Preprints
Measures of maximal entropy for non-uniformly hyperbolic maps (with Yuri Lima and Mauricio Poletti), 2024.
Absolute continuity of stationary measures (with Aaron Brown, Homin Lee and Yuping Ruan), 2024.
Others
Others
Appendix in the book "Entropy, Lyapunov exponents, and rigidity of group actions", by Aaron Brown, 2019.
Thesis, monographs and notes
Thesis, monographs and notes
Ergodicité stable et mesures physiques pour des systèmes dynamiques faiblement hyperboliques, Ph.D. thesis at Université Paris-Saclay, under the supervision of Sylvain Crovisier, 2019.
Symmetries of flows: the vector field and diffeomorphism centralizer. Ph.D. thesis at Universidade Federal do Rio de Janeiro, under the supervision of Alexander Arbieto, 2019.
On the star property. Master's thesis at the Universidade Federal do Rio de Janeiro, under the supervision of Alexander Arbieto, 2015.
Resultados na teoria de dinâmica genérica. Undergraduate monograph under the supervision of Alexander Arbieto, 2010.
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