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math.PR2014
Application of an averaging principle on foliated diffusions: topology of the leaves
Paulo R. Ruffino
We consider an transversal perturbing vector field in a foliated Brownian motion defined in a foliated tubular neighbourhood of an embedded compact submanifold in . We s…
math.PR2014
Averaging along foliated Lévy diffusions
Michael Högele, Paulo R Ruffino
This article studies the dynamics of the strong solution of a SDE driven by a discontinuous Lévy process taking values in a smooth foliated manifold with compact leaves. It is assu…