Probabilistic and algebraic aspects of smooth dynamical systems
Stochastic dynamics: analytical and geometrical aspects with applications
Grant number: | 08/02841-4 |
Support type: | Research Projects - Thematic Grants |
Duration: | April 01, 2009 - March 31, 2013 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal researcher: | Jorge Manuel Sotomayor Tello |
Grantee: | Jorge Manuel Sotomayor Tello |
Home Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Assoc. researchers: | Ali Messaoudi ; Ali Tahzibi ; Americo Lopez Galvez ; Benito Frazao Pires ; Carlos Alberto Maquera Apaza ; Daniel Smania Brandão ; Pedro Paulo de Magalhaes Rios ; Vanderlei Minori Horita |
Associated scholarship(s): | 11/11663-5 - Ergodic and algebraic properties for dynamical systems which preserves an infinite measure,
BP.PD 11/05426-0 - Noncommutative integration theory and hyperbolic dynamics, BP.MS 10/17397-2 - Dynamics of holomorphic correspondences, BP.DR + associated scholarships - associated scholarships |
Abstract
In this project, we study many aspects of the theory of dynamical systems, including: A. Perturbation of dynamical systems: Closing lemma-type problems, ergodic and stochastic stability, bifurcations in families of either discrete or continuous dynamical systems, differentiability of SBR measures, stability of the spectrum of stochastic adding machines. B. Ergodic and geometric aspects of dynamical systems: asymptotic behavior of flows on the plane with a unique singularity, existence and uniqueness of SBR measures, fractal dimension of invariant sets. C. Dynamical Systems of algebraic, geometric or semi-classic origin: Rauzy fractals, differential equations of lines of curvature and asymptotics of a surface, semiclassical dynamical systems coming from the study of non-Liouvillian propagation of semiclassical Wigner functions of pure states. (AU)
Articles published in Agência FAPESP Newsletter about the research grant: |
TITULO |
Articles published in other media outlets (0 total): |
More itemsLess items |
VEICULO: TITULO (DATA) |
VEICULO: TITULO (DATA) |