An introduction to ergodic theory with applications to number theory
Probabilistic and algebraic aspects of smooth dynamical systems
The study of periodic orbits in piecewise continuous differential systems
| Grant number: | 24/14860-6 |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| Start date: | October 01, 2024 |
| End date: | July 31, 2025 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | José Régis Azevedo Varão Filho |
| Grantee: | Thiago de Oliveira Castro |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Abstract This undergrad research project is an introduction to ergodic theory. The student must study the basic theorems of the theory, such as Poincare's recurrence theorem, give applications to Birkhoff's ergodic theorem, in addition to studying the ergodicity of some models of dynamic systems. | |
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