| Grant number: | 11/11663-5 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Effective date (Start): | September 01, 2011 |
| Effective date (End): | September 09, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Ali Messaoudi |
| Grantee: | Patricia Romano Cirilo |
| Host Institution: | Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil |
| Associated research grant: | 08/02841-4 - Topology, geometry and ergodic theory of dynamical systems, AP.TEM |
| Associated scholarship(s): | 13/16553-9 - Ergodic and algebraic properties for dynamical systems which preserves an infinite measure: the elliptic dynamics context, BE.EP.PD |
Abstract This project aims to study ergodic and algebraic properties for a class of dynamical systems whose invariant measure is infinite. It is noteworthy that the classical Birkhoff ergodic theorem is not valid when the measure preserved by the system is not finite. We will study skew products defined on cylinders whose base is minimal, for example irrational rotations on the n-dimensional torus. Topics to be covered include ergodic theorems, asymptotic behavior of ergodic sums, return sequences, limits on distribution and Rauzy fractals of Diophantine approximations. (AU) | |
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