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My research lies primarily in Topological Dynamics and Dynamical Systems, with a particular interest in the mathematical mechanisms underlying chaotic behavior. A central theme of my work is expansivity and its generalizations, including measure-theoretic and topological approaches to distinguishability and orbit separation.
My research also explores shadowing properties, topological stability, measurable dynamics, linear dynamics, pointwise dynamics, and topological entropy, as well as their interactions with different notions of expansivity. Additional interests include fuzzy systems and convex analysis.
Publications
Publications
- Inner-Distal Homeomorphisms and Measures
2026-08 | journal-article
2026-08 | journal-article
- On the maximal sets for F-expansive measures
2026-02 | journal-article
2026-02 | journal-article
2024-06-14 | journal-article
2024-06-14 | journal-article
2022-12 | journal-article
2022-12 | journal-article
2022-03-01 | journal-article
2022-03-01 | journal-article
- Expansive complexity for flows
2021-12 | journal-article
2021-12 | journal-article
2021-08-13 | journal-article
2021-08-13 | journal-article
2021-03-26 | journal-article
2020-12-14 | journal-article
2020-11 | journal-article
Topology and its Applications
Topology and its Applications
2020-10 | journal-article PDF
Journal of Dynamical and Control Systems
Journal of Dynamical and Control Systems
2018-10-22 | journal-article PDF
Journal of Mathematical Analysis and Applications
Journal of Mathematical Analysis and Applications
2018-05 | journal-article PDF
Bulletin of the Australian Mathematical Society
Bulletin of the Australian Mathematical Society
2018-02 | journal-article PDF
Journal of Differential Equations
Journal of Differential Equations
2016 | journal-article PDF
- On the convergence on the Grassmannian
Selecciones Matemáticas
Selecciones Matemáticas
2020-06-30 | journal-article PDF
- Un indicador de complejidad en sistemas dinámicos
2018 (Tesis de doctorado) PDF
- Compleción de cuerpos convexos
Pesquimat
Pesquimat
2015 | journal-article PDF
- Representaciones Extremales
Pesquimat
Pesquimat
2013 | journal-article PDF
Tópicos en Espacios Métricos: Teoría clásica y un enfoque a la convexidad
Tópicos en Espacios Métricos: Teoría clásica y un enfoque a la convexidad
Editorial Académica Española EAE
Editorial Académica Española EAE
2021-11-02 | Book
ISBN-13: 978-6203036114
Gromov-Hausdorff perturbation of dynamical systems
Gromov-Hausdorff perturbation of dynamical systems
Fondo Editorial de la Universidad Nacional de Ingeniería EDUNI
Fondo Editorial de la Universidad Nacional de Ingeniería EDUNI
Monografías del IMCA Nueva Serie
2021-10-09 | Book
ISBN: 978-612-47971-2-5
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