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An introduction to ergodic theory via hyperbolic groups II

Grant number: 19/26843-0
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): February 01, 2020
Effective date (End): December 31, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Rodrigo Bissacot Proença
Grantee:João Felipe Rodrigues Pereira
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:16/25053-8 - Dynamics and geometry in low dimensions, AP.TEM

Abstract

The following project takes into account the student's skills and background, with the main objectives of bringing the student over the next 2 years to know current research topics, starting with the foundation and strengthening of their mathematics skills and ending reading articles in Dynamical Systems and Mathematical Physics. At the end, the student will have had the opportunity to know results in Hyperbolic Geometry, Ergodic Theory, Dynamical Systems and Thermodynamic Formalism, with the final goal being to understand Patterson's ideas which had a big influence in Dynamical Systems. (AU)

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