Dynamical and ergodic properties of symplectic diffeomorphisms

• Grant number: 14/21815-5
• Support Opportunities: Scholarships abroad - Research
• Start date: February 11, 2015
• End date: August 10, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Vanderlei Minori Horita
• Grantee: Vanderlei Minori Horita
• Host Investigator: Sylvain Crovisier
• 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
• Institution abroad: Université Paris-Sud (Paris 11), France
• Associated research grant: 13/24541-0 - Ergodic and qualitative theory of dynamical systems, AP.TEM

Abstract

In this project we deal with problems related with dynamical and ergodic properties of dynamical systems, especially of symplectic diffeomorphisms. We study generic properties in $C^r$-topology, $r\ge 1$, and estimates about topological entropy. (AU)