Research Topics
My research focuses on Topological Dynamical Systems and their relations to Chaos Theory. I am particularly interested in the development of the following topics: Expansive Systems, Shadowing Property, Topological Stability, Topological Entropy, Pointwise dynamics, Measurable dynamics, Fuzzy systems and Convex Analysis.
Publications
- Inner-Distal Homeomorphisms and Measures
In progress PDF
- On the minimum ergodic average and minimal systems
CUBO, A Mathematical Journal PDF
2022-12 | journal-article
- Asymptotic expansivity
2022-03-01 | journal-article
- Expansive complexity for flows
2021-12 | journal-article
- Generalized Archimedean spaces and expansivity
2021-08-13 | journal-article
- Finite-Expansivity and N-Shadowing
2021-03-26 | journal-article
- Stability and expansivity of tent map
2020-12-14 | journal-article
- Topological stability for fuzzy expansive maps
Fuzzy Sets and Systems
2020-11 | journal-article PDF
- A distance between bounded linear operators
Topology and its Applications
2020-10 | journal-article PDF
- Shadowable Points for Flows
Journal of Dynamical and Control Systems
2018-10-22 | journal-article PDF
- Descriptive set theory for expansive systems
Journal of Mathematical Analysis and Applications
2018-05 | journal-article PDF
- Lyapunov Exponents On Metric Spaces
Bulletin of the Australian Mathematical Society
2018-02 | journal-article PDF
- F-expansivity for Borel measures
Journal of Differential Equations
2016 | journal-article PDF
- On the convergence on the Grassmannian
Selecciones Matemáticas
2020-06-30 | journal-article PDF
- Compleción de cuerpos convexos
Pesquimat
2015 | journal-article PDF
- Representaciones Extremales
Pesquimat
2013 | journal-article PDF
Tópicos en Espacios Métricos: Teoría clásica y un enfoque a la convexidad
Editorial Académica Española EAE
2021-11-02 | Book
ISBN-13: 978-6203036114
Gromov-Hausdorff perturbation of dynamical systems
Fondo Editorial de la Universidad Nacional de Ingeniería EDUNI
Monografías del IMCA Nueva Serie
2021-10-09 | Book
ISBN: 978-612-47971-2-5
