7 citations · 24 across the 14 of their papers we have counts for
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math.PR2006
How to determine the law of the noise driving a SPDE
H. Gottschalk, B. Smii
We consider a stochastic partial differential equation (SPDE) on a lattice \partial_t X=(Δ-m^2)X-λX^p+ηwhere is a space-time Lévy noise. A perturbative (in the sense of formal…
math-ph2006★ 3 cited
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…
math.PR2006★ 7 cited
The Feynman graph representation of convolution semigroups and its applications to Lévy statistics
Hanno Gottschalk, Boubaker Smii, Horst Thaler
We consider the Cauchy problem for a pseudo-differential operator which has a translation-invariant and analytic symbol. For a certain set of initial conditions, a formal solution…