Full text
| |
| Author(s): |
Renata Possobon
Total Authors: 1
|
| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2020-09-28 |
| Examining board members: |
Christian da Silva Rodrigues;
Pedro Jose Catuogno;
Ali Tahzibi
|
| Advisor: | Christian da Silva Rodrigues |
| Abstract | |
In this work, we study the disintegration of measures and Rokhlin's Theorem in different contexts. In particular, we argue the relationship between the disintegration of measures and the central problem of the Optimal Transport Theory (optimal transport problem). Also, we show a connection of this perspective of disintegration with the case of partitioned spaces. In addition, we study some geometric and statistical properties of dynamical systems by the associated transfer operator, and, within this context, we apply the disintegration of measures to define suitable spaces to the system (AU) | |
| FAPESP's process: | 18/05309-3 - Geometric and statistical properties of dynamical systems via optimal transport theory |
| Grantee: | Renata Possobon |
| Support Opportunities: | Scholarships in Brazil - Master |