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|Type:||Artigo de periódico|
|Title:||Application Of An Averaging Principle On Foliated Diffusions: Topology Of The Leaves|
|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.|
|Editor:||UNIV WASHINGTON, DEPT MATHEMATICS|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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