Research

Research areas, publications, books, grants, and the Jangada Dinâmica project.

Research areas

Dynamical Systems

Hyperbolic, non-uniformly hyperbolic and partially hyperbolic dynamics; symbolic dynamics for surface diffeomorphisms and flows in arbitrary dimension.

Ergodic Theory

Measures of maximal entropy, equilibrium states, decay of correlations and limit theorems for chaotic systems, including billiards and geodesic flows.

Probability

Limit theorems for dynamical systems, Pólya urns on graphs and hypergraphs, reinforced stochastic processes.

Combinatorics

Additive combinatorics, projections of Cantor sets and Marstrand-type theorems.

Grants

  • FAPESP Jovem PesquisadorR$ 1,600,000Sep 2026 – Aug 2031
  • FUNCAP UniversalR$ 37,000Nov 2023 – Nov 2025
  • Instituto SerrapilheiraR$ 1,400,000Nov 2019 – Jul 2027
    Jangada Dinâmica: boosting dynamical systems in Brazil's Northeastern region
  • Royal Society — Newton Advanced Fellowship£ 39,900Apr 2018 – Mar 2020
    Decay of correlations and statistical properties of high-dimensional dynamical systems
  • Instituto SerrapilheiraR$ 100,000Mar 2018 – Aug 2019
    Symbolic dynamics and non-uniform hyperbolicity
  • AMS Simons Travel GrantAug 2014 – Aug 2015
  • CAPES / Weizmann 2012Jun 2012 – Jun 2014
    Infinite ergodic theory

Books

  • Olimpíadas Cearenses de Matemática de 2014 a 2024

    SBM · · 218 pp.
    ISBN: 9788583372530
  • Introdução aos Sistemas Dinâmicos

    SBM · 2025 · 178 pp.
    ISBN: 9788583372554
  • Alice no País da Dinâmica: Sistemas Dinâmicos Para o Ensino Médio

    LF Editorial · 2025 · 116 pp.
    ISBN: 978-6555634150
  • Treinamento Olímpico

    SBM · 2020 · 410 pp.
    ISBN: 978-65-990395-2-2
  • Treinamento Cone Sul, Volume 2

    Realce Editora · 2010 · 174 pp.
    ISBN: 978-85-89105-37-8
  • Treinamento Cone Sul, Volume 1

    Realce Editora · 2007 · 114 pp.
    ISBN: 858921555-5