Dynamics and geometry of stochastic flows

• Grant number: 12/03992-1
• Support Opportunities: Scholarships abroad - Research
• Start date: August 09, 2012
• End date: June 23, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paulo Regis Caron Ruffino
• Grantee: Paulo Regis Caron Ruffino
• Host Investigator: Peter Imkeller
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Humboldt University, Germany
• Associated research grant: 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications, AP.TEM

Abstract

Characterization of bifurcation in Markovian systems using the process of n-points, as in Kunita "Stochastic Flows and Stochastic Differential Equations", C.U.P. An average principle in Hamiltonian systems via decomposition of flows in a foliated manifold. Conjugacies of stochastic flows with random systems (cohomologies) that preserve tensor fields. (AU)

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GONZALES-GARGATE, IVAN I.; RUFFINO, PAULO R.. AN AVERAGING PRINCIPLE FOR DIFFUSIONS IN FOLIATED SPACES. ANNALS OF PROBABILITY, v. 44, n. 1, p. 567-588, JAN 2016. (12/03992-1, 11/50151-0)

HOEGELE, MICHAEL; RUFFINO, PAULO. Averaging along foliated Levy diffusions. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 112, p. 1-14, JAN 2015. (12/03992-1, 11/50151-0)

DA COSTA, PAULO HENRIQUE P.; RUFFINO, PAULO R.. Degenerate Semigroups and Stochastic Flows of Mappings in Foliated Manifolds. POTENTIAL ANALYSIS, v. 43, n. 3, p. 461-480, OCT 2015. (11/50151-0, 12/03992-1)

RUFFINO, PAULO R.. A sampling theorem for rotation numbers of linear processes in R-2 (Vol 8, pg 175, 2000). RANDOM OPERATORS AND STOCHASTIC EQUATIONS, v. 22, n. 4, p. 2-pg., 2014-12-01. (12/03992-1, 11/50151-0)