22 citations · 48 across the 20 of their papers we have counts for
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Extension of time for decomposition of stochastic flows in spaces with complementary foliations
Leandro Morgado, Paulo R. Ruffino
Let be a manifold equipped (locally) with a pair of complementary foliations. In Catuogno, da Silva and Ruffino (Stoch. Dyn. 2013), it is shown that, up to a stopping time ,…
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…
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…
A Sampling Theorem for Rotation Numbers of Linear Processes in
Paulo R. C. Ruffino
We prove an ergodic theorem for the rotation number of the composition of a sequence os stationary random homeomorphisms in . In particular, the concept of rotation number o…