An introduction to ergodic theory

• Grant number: 18/02603-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2018
• End date: March 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: José Régis Azevedo Varão Filho
• Grantee: Andrey Jhen Shan Chen
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project is an introduction to ergodic theory. The student will study Poincare's recurrence theorem, give applications of the ergodic theorem, besides proving the ergodicity of certain dynamical systems models. (AU)