Students profiles

• Anselmo de Souza Pontes Junior (PUC-Rio)

Master's student

Advisor: Silvius Klein

Research interests: My research focuses on ergodic theory and dynamical systems. I'm particularly interested in the study of statistical properties of dynamical systems and quantitative regularity of Lyapunov Exponents.

• Camila Sobrinho Crispim (PUC-Rio)

PhD student

Advisor: Lorenzo Diaz

Research interests: I work in  ergodic theory of iterated function systems (IFS) and partially hyperbolic diffeomorphisms, in particular the behaviour of nonhyperbolic and hyperbolic measures.

• Fabian Loaiza (UFRJ)

PhD student

Advisor: Katrin Gelfert

Research interests: My area of interest is Dynamical Systems Theory and Ergodic Theory. In my doctoral thesis, I explore dynamic and dimensional quantifiers of exceptional sets in non-uniformly expanding contexts.

• Filiphe Veiga (UFMG)

2nd year PhD student

Advisor: Karina Marin

Research interests: Continuity of Lyapunov exponents for partially hyperbolic diffeomorphisms with two-dimensional center bundle. Relation between the defect of continuity of the center Lyapunov exponents and the entropy.

• Heric Corrêa (IMPA)

1st year PhD student

Advisor: Alejandro Kocksard

Research interests: I split my research interest into three segments: 1. One-parameter linear cocycle (e.g. parametric Furstenberg theorem, Schrödinger cocycles). 2. Ergodic optimization and Aubry-mather theory (e.g. Mañe's conjecture and lyapunov-optimization's problems). 3. Rotation theory and low-dimensional dynamics.

• Raul Steven Rodriguez Chavez (PUC-Rio)

Master's student

Advisor: Lorenzo Diaz and Pablo Barrientos

Research interests: My research focuses on ergodic theory and dynamical systems, in particular on the asymptotic behavior of orbits, physical measures and random dynamical systems. 

• Raquel Saraiva (UFMG)

3rd year PhD student

Advisor: Karina Marin

Research interests: Continuity for the Lyapunov exponents as functions of \SL(2) valued linear cocycles. More precisely, extend the discontinuity results to different conditions from those contained in the theorems of Bocker-Viana and Butler.

• Victor Janeiro (UFMG)

1st year PhD student

Advisor: Pablo Carrasco

Research interests: I'm currently interested in differentiable ergodic theory of partially hyperbolic systems and endomorphisms. In particular I'm studying methods of deforming systems to obtain non-uniform hyperbolicity, and related consequences of this phenomena.

• Bastian Nuñez (PUCV)

Master's student

Advisor: Radu Saghin

Research interests: Continuity of Lyapunov exponents with respect to certain non-invertible maps or endomorphisms, applying or extending methods known for cocycles with holonomies (cf. Backes-Brown-Butler, Viana-Yang, Freijo-Marin). I'm also interested in flexibility questions and other statistical properties.