Noticias en español
Postdocs
PhD in Mathematics, State University of Campinas, Brazil (2022)
Bachelor in Mathematics Education, University of São Paulo, Brazil (2021)
Master in Applied Mathematics, University of São Paulo, Brazil (2018)
Bachelor in Applied and Computational Mathematics, University of São Paulo, Brazil (2015)
Bachelor in Mathematics Education, University of São Paulo, Brazil (2021)
Master in Applied Mathematics, University of São Paulo, Brazil (2018)
Bachelor in Applied and Computational Mathematics, University of São Paulo, Brazil (2015)
Research Area:
Probability and Ergodic Theory
Probability and Ergodic Theory
Research interests:
My research is the area of Smooth Dynamical Systems, specifically those presenting some kind of hyperbolic behaviour, meaning that each point has directions on its tangent space in which the derivative of the map contracts or expands vectors. We study the differential, topological and ergodic (measure theoretical) properties of these maps. Although this is a well established field in Dynamical Systems, there are still many open problems, especially if we take into account non-invertible maps. My current research is on the classification of probability measures of particular interest (SRB measures) for partially hyperbolic non-invertible maps on closed manifolds.
My research is the area of Smooth Dynamical Systems, specifically those presenting some kind of hyperbolic behaviour, meaning that each point has directions on its tangent space in which the derivative of the map contracts or expands vectors. We study the differential, topological and ergodic (measure theoretical) properties of these maps. Although this is a well established field in Dynamical Systems, there are still many open problems, especially if we take into account non-invertible maps. My current research is on the classification of probability measures of particular interest (SRB measures) for partially hyperbolic non-invertible maps on closed manifolds.
Comments:
Under the supervision of Prof. Rodolfo Gutiérrez-Romo. Computer-assisted proofs for smooth dynamical systems. This research received funding from Fundación para el Modelamiento Matemático.
Under the supervision of Prof. Rodolfo Gutiérrez-Romo. Computer-assisted proofs for smooth dynamical systems. This research received funding from Fundación para el Modelamiento Matemático.
