Research - Pesquisa

Research topics

On computational and theoretical aspects of Dynamical Systems with some hyperbolicity

• • Computational proofs of the existence of blenders

  • Ergodic theory for partially hyperbolic endomorphisms

• PhD thesis: Regularity of foliations and rigidity for Anosov endomorphisms.

• Master monograph: Periodic billiard orbits in obtuse triangles (in Portuguese).

• Tese de doutorado: Regularidade de folheações e rigidez para endomorfismos de Anosov (em inglês).

• Dissertação de mestrado: Órbitas bilhares periódicas em triângulos obtusos.

Publications:

Cantarino, M. and Varão, R. Anosov endomorphisms on the two-Torus: Regularity of foliations and rigidity. Nonlinearity 36, 10 (sep 2023). https://doi.org/10.1088/1361-6544/acf267

Álvarez, C. F. and Cantarino, M. Equilibrium states for partially hyperbolic maps with one-dimensional center. Journal of Statistical Physics (2023). https://doi.org/10.1007/s10955-023-03206-3 | Read-only version

Cantarino, M. and Varão, R. and Silva S. T.  Holonomies for foliations with extreme disintegration behavior. Stochastics and Dynamics (2024). https://doi.org/10.1142/S0219493724500242.

Preprint:

Cantarino, M. and Santiago, B. U-Gibbs measure rigidity for partially hyperbolic endomorphisms on surfaces.  (Jul 2024).