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14 papers · 1 filter
Generalized covariation for Banach space valued processes, Itô formula and applications
Cristina Di Girolami, Francesco Russo
This paper discusses a new notion of quadratic variation and covariation for Banach space valued processes (not necessarily semimartingales) and related Itô formula. If $\X$ and $\…
Malliavin-Skorohod calculus and Paley-Wiener integral for covariance singular processes
Ida Kruk, Francesco Russo
We develop a stochastic analysis for a Gaussian process with singular covariance by an intrinsic procedure focusing on several examples such as covariance measure structure pro…
A probabilistic algorithm approximating solutions of a singular PDE of porous media type
Nadia Belaribi, François Cuvelier, Francesco Russo
The object of this paper is a one-dimensional generalized porous media equation (PDE) with possibly discontinuous coefficient , which is well-posed as an evolution problem in $L…
Mott transition in Cr-doped V2O3 studied by ultrafast reflectivity: electron correlation effects on the transient response
B. Mansart, D. Boschetto, S. Sauvage +2
The ultrafast response of the prototype Mott-Hubbard system (V1-xCrx)2O3 was systematically studied with fs pump-probe reflectivity, allowing us to clearly identify the effects of…
Pair Creation in QED-Strong Pulsed Laser Fields Interacting with Electron Beams
Igor V. Sokolov, Natalia M. Naumova, John A. Nees +1
QED-effects are known to occur in a strong laser pulse interaction with a counter-propagating electron beam, among these effects being electron-positron pair creation. We discuss t…
Search for Stimulated Photon-Photon Scattering in Vacuum
D. Bernard, F. Moulin, F. Amiranoff +6
We have searched for stimulated photon scattering in vacuum at a center of mass photon energy of 0.8 eV. The QED contribution to this process is equivalent to four wave mixing in v…