Geometric and statistical properties of dynamical systems via optimal transport theory

• Grant number: 18/05309-3
• Support Opportunities: Scholarships in Brazil - Master
• Start date: June 01, 2018
• End date: September 30, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Christian da Silva Rodrigues
• Grantee: Renata Possobon
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 16/00332-1 - Geometry and probability in dynamical systems: fundamentals and applications, AP.JP
• Associated scholarship(s): 19/14724-7 - Geometric and statistical properties of dynamical systems: disintegration of measures, BE.EP.MS

Abstract

In this project it will be studied disintegration of measures in terms of conditional probability measures in different contexts. In particular, emphasis will be given to the relationship of disintegration of measures with the Theory of Optimal Transport, representation of measures and applications to Ergodic Theory and Dynamical Systems. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

POSSOBON, Renata. Disintegration of measures: properties and applications. 2020. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.