22 citations · 48 across the 20 of their papers we have counts for
3 papers · 1 filter
An averaging principle for diffusions in foliated spaces
Ivan I. Gonzales-Gargate, Paulo R. Ruffino
Consider an SDE on a foliated manifold whose trajectories lay on compact leaves. We investigate the effective behavior of a small transversal perturbation of order . A…
Harmonic measures in embedded foliated manifolds
Pedro J. Catuogno, Diego S. Ledesma, Paulo R. Ruffino
We study harmonic and totally invariant measures in a foliated compact Riemannian manifold isometrically embedded in an Euclidean space. We introduce geometrical techniques for sto…
Decomposition of stochastic flows in manifolds with complementary distributions
Pedro J. Catuogno, Fabiano B. da Silva, Paulo R. Ruffino
Let be a differentiable manifold endowed locally with two complementary distributions, say horizontal and vertical. We consider the two subgroups of (local) diffeomorphisms of…