CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Estados Unidos
graduate of Matematics from University of California, Berkeley (1974) and Ph.D. in Matematics from University of Washington (1983). Has experience in Mathematics, focusing on Dynamical Systems and Ergodic Theory, investigating the following subjects: small-scale structure of fractal sets, scenery flow, average density, nonstationary hyperbolic dynamics, nonstationary subshifts of finite type, adic transformations, unique ergodicity, interval exchange transformations, Markov partitions, Julia sets, Brownian motion, stable and renewal processes, infinite measure ergodic theory. (Source: Lattes Curriculum)
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This project is a continuation of two previous thematic projects supported by FAPESP with numbers 2006/03829-2 and 2011/16265-8. The present group includes researchers working on dynamical systems and low-dimensional geometry and has senior as well as and young researchers, including recent hires. The areas covered by the project are: dynamics in dimension 2: dynamics of homeomorphisms an…
The central theme of this project is to investigate asymptotically self-similar return time behavior for three quite different types of dynamical systems.(1) We study a parametrized family of maps of the interval with an indifferent fixed point; the main objective is to complete a paper about this together with A. Lopes and M. Talet. We see three distinct phases of behavior for the famil…
The modern theory of dynamical systems started with the work of Poincaré and, since then, grew into a mature and very active branch of mathematical research. The main goal of this project is to further the study of the following areas of dynamical systems theory: - Hamiltonian systems with two degrees of freedom, their dynamical and topological aspects and their stability in the sense of …
(Only some records are available in English at this moment)
The idea of unpredictability was introduced into dynamical systems by Poincaré at the end of 19th century. In form of differential equations, he showed that a completely deterministic system may exhibit features of randomness due to lackof information. Since 1980s there is growing interest to understand probabilistic phenomenon in dynamical systems, thus following Poincaré's ideas. On the…
The principal objective is to deepen our understanding of self-similar objects, making use of ideas from dynamical systems and ergodic theory, including the ergodic theory of infinite measures invariant for transformations and for group actions. A central theme is the study of connections between several apparently quite different areas: the theory of non-amenable groups, of Julia sets, …
| 7 / 5 | Completed research grants |
| 1 / 1 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 9 / 7 | All research grants and scholarships |
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