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Ergodic theory and dynamic on homogeneous spaces

Grant number: 16/22585-9
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): January 01, 2017
Effective date (End): December 31, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:José Régis Azevedo Varão Filho
Grantee:Pedro Griguol de Mattos
Home 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 and dynamics in homogeneous spaces. The student will study the basics of ergodic theory, such as ergodicity, ergodic theorem of Birkhoff, ergodic hierarchies, invariant measures, existence of invariant measures, hyperbolic plane of Poincaré, geodesic flow, horociclo flow and Fuchsianos groups. (AU)