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Foliations and ergodicity of transverse measures

Grant number: 18/02616-2
Support type:Scholarships in Brazil - Master
Effective date (Start): May 01, 2018
Effective date (End): February 29, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Cooperation agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator: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


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)