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Geometry of foliations via foliated Brownian motion

Grant number: 22/00284-8
Support Opportunities:Scholarships in Brazil - Doctorate (Direct)
Effective date (Start): March 01, 2022
Status:Discontinued
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Paulo Regis Caron Ruffino
Grantee:Andrey Jhen Shan Chen
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:20/04426-6 - Stochastic dynamics: analytical and geometrical aspects with applications, AP.TEM
Associated scholarship(s):23/08713-8 - Stochastic PDEs: from singularity to large scale behavior, BE.EP.DD

Abstract

Study dynamics and geometry in foliated spaces via stochastic calculus in foliation. In this context, relate: stability in the sense of Lyapunov exponents of a brownian clad motion, foliated approximation, relation with curvature, geometric entropy and dynamic entropy. (AU)

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