Foliations and ergodicity of transverse measures

• Grant number: 18/02616-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: May 01, 2018
• End date: February 29, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: José Régis Azevedo Varão Filho
• Grantee: Pedro Griguol de Mattos
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This master's project aims to study transverse measures invariant by a dynamically defined foliation. The richness of the subject lies in the mixture of diverse areas of mathematics. The purpose is to prove the unique ergodicity of the stable or unstable foliation defined by an Anosov diffeomorphism. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

MATTOS, Pedro Griguol de. Foliations and ergodicity of transverse measures. 2020. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.