8 citations · 16 across the 19 of their papers we have counts for
4 papers · 1 filter
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…
Decomposition of stochastic flows with automorphism of subbundles component
Pedro J. Catuogno, Fabiano B. da Silva, Paulo Ruffino
We show that given a -structure on a differentiable manifold , if the group of automorphisms of is big enough, then there exists the quotient of an stochastic…
Time Dependent Tempered Generalized Functions and Ito's Formula
P. Catuogno, C. Olivera
The paper introduces a novel Ito's formula for time dependent tempered generalized functions. As an application, we study the heat equation when initial conditions are allowed to b…
On Stochastic generalized functions
Pedro Catuogno, Christian Olivera
We introduced a new algebra of stochastic generalized functions which contains to the space of stochastic distributions G, [25]. As an application, we prove existence and uniquenes…