8 citations · 16 across the 19 of their papers we have counts for
3 papers · 1 filter
Strong solution of the stochastic Burgers equation
P. Catuogno, C. Olivera
This work introduces a pathwise notion of solution for the stochastic Burgers equation, in particular, our approach encompasses the Cole-Hopf solution. The developments are based o…
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…