Stochastic flows on manifolds

• Grant number: 19/08076-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: July 01, 2019
• End date: June 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Fabiano Borges da Silva
• Grantee: Amanda Silvieri Leite de Oliveira
• Host Institution: Faculdade de Ciências (FC). Universidade Estadual Paulista (UNESP). Campus de Bauru. Bauru , SP, Brazil

Abstract

This is about the formation of a researcher in stochastic dynamic systems. The initial stage of the project consists of the study of stochastic differential equations on manifolds and the Itô formula for the action of stochastic flows in vector fields and tensor fields. Later, we will explore the technique of stochastic flow decomposition, so that one of the components of the factorization obtained preserves a certain structure of the manifold (metric, symplectic form, etc.) in order to find new results and applications. (AU)

Academic Publications

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

OLIVEIRA, Amanda Silvieri Leite de. An introduction to stochastic differential equations and stochastic flow of diffeomorphisms in smooth manifolds. 2021. Master's Dissertation - Universidade Estadual Paulista (Unesp). Faculdade de Ciências e Tecnologia. Presidente Prudente Presidente Prudente.