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Continuity of entropy and classification of partially hyperbolic systems with one-dimensional central bundle

Grant number: 17/13160-7
Support type:Research Grants - Visiting Researcher Grant - International
Duration: September 12, 2017 - September 23, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Edson Vargas
Grantee:Edson Vargas
Visiting researcher: Radu Saghin
Visiting researcher institution: Pontificia Universidad Católica de Valparaíso (PUCV), Chile
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:16/25053-8 - Dynamics and geometry in low dimensions, AP.TEM

Abstract

This project has two parts: 1. The study of the continuity of the topological entropy and of the metric entropy for partially hyperbolic systems with low dimensional center and the regularity of Lyapunov exponents associated to invariant bundles. 2. Classification of partially hyperbolic systems with one-dimensional center and eventual density of periodic orbits in the nonwandering set. (AU)