Research
Research interests:
Hyperbolic and partially hyperbolic dynamics.
Physical measures, absolutely continuous invariant measures, equilibrium states, regularity of invariant measures.
Dimension theory of dynamical systems, attractors with intrinsic transversality.
Smooth dependence with respect to the dynamics (linear response).
Articles:
Physical measures for certain partially hyperbolic attractors on 3-manifolds - Ergodic Theory and Dynamical Systems, 39 (2019), 74-104.
Higher-dimensional attractors with absolutely continuous invariant probability (with C. Bocker) - Nonlinearity, 31 (2018), 2057-2082.Â
Hausdorff dimension of thin higher-dimensional solenoidal attractors (with E. Silva) - Nonlinearity, 35(6) (2022), 3261-3282.
Dimension of a Class of Intrinsically Transversal Solenoidal Attractors in High Dimensions (with E. Silva) - Qualitative Theory of Dynamical Systems, 21, 156 (2022).
Regularity and linear response formula for the SRB measure for solenoidal attractors (with C. Bocker and A. Castro) - Ergodic Theory and Dynamical Systems, (2024).
Regularity of the Hausdorff dimension of some hyperbolic systems (with E. Silva and P. Varandas) - Journal of Mathematical Analysis and Applications, 539 (2024).
Preprints:
Absolutely continuous invariant measures for partially hyperbolic endomorphisms satisfying a transversality condition (with M. Faria)
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