Abstract
We intend to develop research on multidimensional thermodynamic formalism and its relations with dynamics, ergodic theory and geometry, paying particular attention to connections with Delone set theory, tilings and Rd-actions. (AU)
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Eduardo Garibaldi
CV Lattes
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation for the last research proposal) Birthplace: Brazil
Eduardo Garibaldi in research grants and scholarships supported by FAPESP.
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Research grants
- Gibbs measures at zero temperature, AV.EXT
Abstract
The main challenge in the study of freezing phenomena for Gibbs states is to interpret the often complicated entropy behaviour dictated by the associated maximizing probabilities. Actually, the fundamental questions on the recognition of non-convergence of Gibbs measures for exponentially decreasing interactions remain open. In this context, it is particularly challenging to characterize …
- First DySyCo School - Dynamical Systems and Computation, AR.EXT
- Quasicrystals and Aubry-Mather Theory, AP.R
(Only some records are available in English at this moment)
Scholarships in Brazil
- Thermodynamic formalism at zero temperature for random subshifts of finite type, BP.DR
Abstract
The goal of this project is to study the thermodynamic formalism in zero temperature for Random Dynamical Systems (RDS). We shall make use of already existing results of the literature which (under some hypotheses) guarantee the existence of equilibrium states $\mu_{\beta}$ for random elements $\beta\phi$ in a RDS. We wish to find conditions for $\phi$ to obtain the convergence of $\mu_{\…
- Ergodic Optimization for Anosov Diffeomorphisms, BP.MS
Abstract
The goal of this project is to study sub-actions for Holder continuous potentials on a hyperbolic dynamical system, as well as to characterize the invariant Borel probability measures that maximize the integral of such potentials. We shall make use of the already known theory, like the expansive case, in order to generalize concepts for hyperbolic toral automorphisms.
- Bowen-Series transform and thermodynamic formalism for hyperbolic surfaces of finite volume, BP.PD
Abstract
I plan to continue working on the Bowen-Series coding and use it to study the objects that are related with surfaces with negative curvature. In particular, the exact results of my thesis may allow for precise counting of dynamical quantities like the number of periodic orbits.On another hand, the natural extension of the Bowen-Series transform can be an interesting tool for answering que…
(Only some records are available in English at this moment)
Total / Available in English
| 1 / 1 | Ongoing research grants |
| 5 / 4 | Completed research grants |
| 4 / 4 | Completed scholarships in Brazil |
| 10 / 9 | All research grants and scholarships |
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