CV Lattes
ResearcherID
Google Scholar Citations
Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Adjoint Professor at Federal University of Bahia. Post-doctoral stages: Imperial College London, under supervision of Sebastian van Strien; and University of São Paulo, under supervision of Edson de Faria. PhD in Mathematics, ICMC University of São Paulo (2011-2015) - Advisor: Daniel SmaniaMSc in Mathematics, ICMC University of São Paulo (2009-2011) - Advisor: Daniel SmaniaBSc in Mathematics, ICMC University of São Paulo (2005 - 2008) - Advisor: Sueli Mieko Tanaka Aki.Research interests: Complex Dynamics and Ergodic Theory. (Source: Lattes Curriculum)
| News published in Agência FAPESP Newsletter about the researcher |
| More itemsLess items |
| TITULO |
| Articles published in other media outlets ( ): |
| More itemsLess items |
| VEICULO: TITULO (DATA) |
| VEICULO: TITULO (DATA) |
We shall study the concept of renormalisation for a family of unicritical correspondences with rational exponents. Lyubich and Shishikura proved (independently) that if a quadratic map has no indifferent cycle and is only finite renormalizable, then its Julia set has measure zero. For non-integer exponents, Siqueira recently proved that the Julia set has Hausdorff dimension d< 2 for param…
We will study the dynamics in the complex plane of holomorphic correspondences that appears in a natural way as "analytic extensions'' of the dynamics of the maps |x|^{p/q}+c on the real line.In particular we are interested in the geometric, ergodic and topological properties of the Julia sets of these correspondences when c is small enough.
Given a complex dynamical system, as for instance a conformal iterated dynamical system, we can associate to it various dynamically defined mathematical objets, as its maximal invariant set and its invariant measures. It is natural to ask about the behaviour of such objects when we perturb the dynamical system. We are specially interested in the differentiability of the Hausdorff dime…
| 4 / 3 | Completed scholarships in Brazil |
| Associated processes | |