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math.DG2011
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:…
math.PR2011
Stochastic symmetries and transformations of stochastic differential equations
Pedro J. Catuogno, Luis R. Lucinger
In this article, we introduce the notion of stochastic symmetry of a differential equation. It consists in a stochastic flow that acts over a solution of a differential equation an…
math.FA2011
solutions of the stochastic transport equation
Pedro Catuogno, Christian Olivera
We consider the stochastic transport linear equation and we prove existence and uniqueness of weak solutions. Moreover, we obtain a representation of the general solution a…