Foliations, transverse measures and partially hyperbolic systems
The transition from finite to infinite measures in dynamical systems
Systems of transversal sections for 3-dimensional Reeb flows
Grant number: | 18/02616-2 |
Support Opportunities: | 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 |
Acordo de Cooperação: | 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) | |
News published in Agência FAPESP Newsletter about the scholarship: | |
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