Ergodic and algebraic properties for dynamical systems which preserves an infinite measure: the elliptic dynamics context

• Grant number: 13/16553-9
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: November 10, 2013
• End date: November 09, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ali Messaoudi
• Grantee: Patricia Romano Cirilo
• Supervisor: Bassam Fayad
• 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 Pierre et Marie Curie (Paris 6), France
• Associated to the scholarship: 11/11663-5 - Ergodic and algebraic properties for dynamical systems which preserves an infinite measure, BP.PD

Abstract

The aim of this project is investigate ergodic properties for systems with an infinite invariant measure in the context of elliptic dynamics.The purpose is to study in collaboration with Bassam Fayad ergodic properties of elliptic constructions on the infinite cylinder. We will also investigate certain elliptic constructions on the closed cylinder that preserve an infinite ergodic measure. (AU)