Recent Publications

An Ergodic Spectral Decomposition Theorem for Singular Star Flows  Duke Mathematical Journal, v. 174, p. 1901-2010, 2025.(with F. Yang and J. Yang)

Finite Measures of Maximal Entropy for an Open Set of Partially Hyperbolic Diffeomorphisms. Transactions of the American Mathematical Society, v. 377, p. 8695-8720, 2024 (with J. C. Mongez).

Robustness and uniqueness of equilibrium states for certain partially hyperbolic systems  Nonlinearity, v. 38, p. 21 pp, 2025 (with J. C. Mongez)

An Improved Climenhaga-Thompson Criterion for Locally Maximal Sets  Journal of Differential Equations, v. 453, p. 113921, 2026. (with F. Yang, J. Yang and G. Yao)

Equilibrium states for the classical Lorenz attractor and sectional-hyperbolic attractors in higher dimensions (with F. Yang and J. Yang)

Singular strange attractors beyond the boundary of hyperbolic flows.  Journal of Differential Equations, v. 345, p. 104-129, 2023. (with K. Lee and C. Morales)

Existence and uniqueness of equilibrium states for systems with specification at a fixed scale  Nonlinearity, v. 35, p. 5963-5992, 2022. (with F. Yang and J. Yang)

Entropy of irregular points for some dynamical systems. Journal of Statistical Physics, v. 189, p. 7, 2022.(with K. Gelfert and D. Sanhueza)

An entropy dichotomy for singular star flows. (with F. Yang and J. Yang)

Upper, down, two-sided Lorenz attractor, collisions, merging and switching (with C. Bonatti and D. Barros)

On Bowen's entropy inequality and almost specification for flows. Journal of Differential Equations, v. 335, p. 43-68, 2022. (with D. Sanhueza)

Entropy theory for sectional hyperbolic flows. Annales de L'Institut Henri Poincaré-Analyse Non Lineaire, v. 38, p. 1001-1030, 2021. (with F. Yang and J. Yang)

N-expansive Flows (with A. Artigue and W. Cordeiro)

Expansive Measures versus Lyapunov exponents. American Mathematical Society Proceedings, v. 146, p. 3895-3906, 2018. (with A. Armijo)

Lyapunov exponents for expansive homeomorphisms. Edinburgh Mathematical Society Proceedings, v. 63, p. 413-425, 2020.  (with J. Vieitez)

Decay of correlations, quantitative recurrence and logarithm law for contracting Lorenz attractors. Journal of Statistical Physics, v. 170, p. 862-882, 2018 (with S. Galatolo and I. Nisoli)

Hausdorff Dimension, Lagrange and Markov Dynamical Spectra for Geometric Lorenz Attractors. Bulletin of the American Mathematical Society, v. 57, p. 269-292, 2020 (with C. G. Moreira and S. Romaña)

Hitting times distribution and extreme value law for flows. Discrete and Continuous Dynamical Systems. Series A, v. 37/11, p. 5861-5881, 2017 (with F. Yang)

Continuum-wise expansiveness and specification for set-valued functions and topological entropy . Proceedings of the American Mathematical Society, v. 144, p. 4261-4271, 2016  (with W. Cordeiro)

CW-expansivity and entropy for flows. Ergodic Theory and Dynamical Systems, v. 39, p. 1190-1210, 2019  (with A. Arbieto and W. Cordeiro)

N-expansive homeomorphisms on surfaces. Communications in Contemporary Mathematics, v. 19, p. 1-20, 2017  (with A. Artigue and J. Vieitez)

Adapted random perturbations for non-uniformly expanding maps. Stochastics and Dynamics, v. 14, p. 131227022749002, 2013 (with V. Araujo and M. Pinheiro)

On measure expansive diffeomorphisms. American Mathematical Society. Proceedings, v. 143, p. 811-819, 2015.  (with J. Vieitez)

Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors. Mathematische Zeitschrift, v. 276, p. 1001-1048, 2014 (with V. Araujo and S. Galatolo)

Exponential speed of mixing for skew-products with singularities. Nonlinearity, v. 26, p. 269-287, 2013  (with R. Markarian and J. Vieitez)

Evolution of the population of Microtus Epiroticus: the Yoccoz-Birkeland model. SIAM Journal on Applied Dynamical Systems, v. 4, p. 1499-1532, 2012 (with J. J. Nieto and J. Vieitez)

Entropy-expansiveness for partially hyperbolic diffeomorphisms. Discrete and Continuous Dynamical Systems, v. 32, p. 1836-1861, 2012.  (with L. J. Díaz, T. Fisher and J. Vieitez)

Thermodynamic formalism for contracting Lorenz flows. Journal of Statistical Physics, v. 139, p. 159-176, 2010.  (with M. Todd)