26 citations · 76 across the 9 of their papers we have counts for
5 papers · 1 filter
Young integrals and SPDEs
Antoine Lejay, Massimiliano Gubinelli, Samy Tindel
In this note, we study the non-linear evolution problem , where is a -Hölder continuous function of the time parameter, with values in a dist…
Statistics of a vortex filament model
Franco Flandoli, Massimiliano Gubinelli
A random field composed by Poisson distributed Brownian vortex filaments is constructed. The filament have a random thickness, length and intensity, governed by a measure . Unde…
The evolution of a random vortex filament
Hakima Bessaih, Massimiliano Gubinelli, Francesco Russo
We study an evolution problem in the space of continuous loops in three-dimensional Euclidean space modelled upon the dynamics of vortex lines in 3d incompressible and inviscid flu…
Controlling Rough Paths
Massimiliano Gubinelli
We formulate indefinite integration with respect to an irregular function as an algebraic problem and provide a criterion for the existence and uniqueness of a solution. This allow…
On a relation between stochastic integration and geometric measure theory
Franco Flandoli, Mariano Giaquinta, Massimiliano Gubinelli +1
Two problems are addressed for the path of certain stochastic processes: a) do they define currents? b) are these currents of a classical type? A general answer to question a) is g…