| Grant number: | 12/14620-8 |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate (Direct) |
| Effective date (Start): | January 14, 2013 |
| Effective date (End): | December 13, 2013 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Ali Tahzibi |
| Grantee: | Gabriel Ponce |
| Supervisor: | Federico Rodriguez Hertz |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Research place: | Pennsylvania State University, United States |
| Associated to the scholarship: | 09/16792-8 - Fine ergodic properties of partially hyperbolic systems, BP.DD |
Abstract This project aims to study the absolutely continuity property and some ergodic properties for partially hyperbolic dynamical systems. We conjectures that, in dimension 3, absolutely continuity and zero center Lyapunov exponents almost everywhere, implies the compacity of the central leaves. We also conjectures that in the set of conservative partially hyperbolic systems of 3-toro, the Kolmogorov and Bernoulli properties are equivalent. (AU) | |
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