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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Application of an averaging principle on foliated diffusions: topology of the leaves

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Author(s):
Ruffino, Paulo R. [1]
Total Authors: 1
Affiliation:
[1] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Electronic Communications in Probability; v. 20, MAR 20 2015.
Web of Science Citations: 0
Abstract

We consider an epsilon K transversal perturbing vector field in a foliated Brownian motion defined in a foliated tubular neighbourhood of an embedded compact submanifold in R-3. We study the effective behaviour of the system under this epsilon perturbation. If the perturbing vector field K is proportional to the Gaussian curvature at the corresponding leaf, we have that the transversal component, after rescaling the time by t/epsilon, approaches a linear increasing behaviour proportional to the Euler characteristic of M, as epsilon goes to zero. An estimate of the rate of convergence is presented. (AU)

FAPESP's process: 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications
Grantee:Elbert Einstein Nehrer Macau
Support type: Research Projects - Thematic Grants
FAPESP's process: 12/18780-0 - Geometry of control systems, dynamical and stochastics systems
Grantee:Marco Antônio Teixeira
Support type: Research Projects - Thematic Grants