4 citations · 14 across the 8 of their papers we have counts for
8 papers
Stochastic stability of invariant measures: The 2D Euler equation
F. Cipriano, H. Ouerdiane, R. Vilela Mendes
In finite-dimensional dynamical systems, stochastic stability provides the selection of physical relevant measures from the myriad invariant measures of conservative systems. That…
Functional central limit theorems and -processes for the classical and relativistic Nelson models
Soumaya Gheryan, Fumio Hiroshima, Jozsef Lorinczi +2
We construct -processes indexed by the full time-line, separately derived from the functional integral representations of the relativistic and non-relativistic Nelson mod…
The fractional Poisson measure in infinite dimensions
Maria Joao Oliveira, Habib Ouerdiane, Jose Luis da Silva +1
The Mittag-Leffler function being a natural generalization of the exponential function, an infinite-dimensional version of the fractional Poisson measure would have a charact…
Quantum Gross Laplacian and Applications
Habib Ouerdiane, Samah Horrigue
In this paper, we introduce and study a noncommutative extension of the Gross Laplacian, called quantum Gross Laplacian. Then, applying the quantum Gross Laplacian to the particula…
Stochastic solution of a nonlinear fractional differential equation
F. Cipriano, H. Ouerdiane, R. Vilela Mendes
A stochastic solution is constructed for a fractional generalization of the KPP (Kolmogorov, Petrovskii, Piskunov) equation. The solution uses a fractional generalization of the br…
Convolution calculus on white noise spaces and Feynman graph representation of generalized renormalization flows
H. Gottschalk, H. Ouerdiane, B. Smii
In this note we outline some novel connections between the following fields: 1) Convolution calculus on white noise spaces 2) Pseudo-differential operators and Lévy processes on in…