41 citations · 42 across the 7 of their papers we have counts for
3 papers · 1 filter
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…
A note on stochastic calculus in vector bundles
Pedro J. Catuogno, Diego S. Ledesma, Paulo R. Ruffino
The aim of these notes is to relate covariant stochastic integration in a vector bundle (as in Norris \cite{Norris}) with the usual Stratonovich calculus via the connector $\K:…
Foliated stochastic calculus: Harmonic measures
Pedro J. Catuogno, Diego S. Ledesma, Paulo R. Ruffino
In this article we present an intrinsec construction of foliated Brownian motion via stochastic calculus adapted to foliation. The stochastic approach together with a proposed foli…