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- Sidi Hamidou Djah, Hanno Gottschalk, H. Ouerdiane
- 2008

A representation of the perturbation series of a general functional measure is given in terms of generalized Feynman graphs and -rules. The graphical calculus is applied to certain functional… (More)

- Luigi Accardi, Skander Hachicha, H. Ouerdiane
- Open Syst. Inform. Dynam.
- 2005

Abstract. We introduce the class of generic quantum Markov semigroups. Within this class we study the class corresponding to the Fock case which is further split into four sub-classes each of which… (More)

A stochastic solution is constructed for a fractional generalization of the KPP (Kolmogorov, Petrovskii, Piskunov) equation. The solution uses a fractional generalization of the branching exponential… (More)

- Hanno Gottschalk, H. Ouerdiane, Boubaker Smii
- 2008

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 infinite dimensional… (More)

- Sidi Hamidou Djah, Hanno Gottschalk, H. Ouerdiane
- 2009

Abstract. Partition and moment functions for a general (not necessarily Gaussian) functional measure that is perturbed by a Gibbs factor are calculated using generalized Feynman graphs. From the… (More)

- NARJESS KHALIFA, H. Kuo, H. Ouerdiane
- 2013

In this paper we use the new stochastic integral introduced by Ayed and Kuo [1] and the results obtained by Kuo, Sae-Tang and Szozda [10] to find a solution to a drift-free linear stochastic… (More)

A noncommutative extension of the Lévy Laplacian, called the quantum Lévy Laplacian, is introduced and its relevant properties are studied, in particular, a relation between the classical and quantum… (More)

In this paper we study the Gross heat equation perturbed by noises with the initial condition being a generalized function. The noises are given by either a white noise or a space-time white noise.… (More)

- Baazaoui Riadh, H. Ouerdiane
- 2014

The main object of this work is to provide a technical way that permits the choice of the most accurate numerical method to simulate nonlinear SDE where no analytical solution is available. In… (More)

- Sidi Hamidou Djah, Hanno Gottschalk, H. Ouerdiane
- 2008

Partition and moment functions for a general (not necessarily Gaussian) functional measure that is perturbed by a Gibbs factor are calculated using generalized Feynman graphs. From the graphical… (More)