Positivity theorem for a general manifold.
Rémi Léandre (2005)
SORT
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We give a generalization in the non-compact case to various positivity theorems obtained by Malliavin Calculus in the compact case.
Rémi Léandre (2005)
SORT
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We give a generalization in the non-compact case to various positivity theorems obtained by Malliavin Calculus in the compact case.
Rémi Léandre (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We produce a stochastic regularization of the Poisson-Sigma model of Cattaneo-Felder, which is an analogue regularization of Klauder’s stochastic regularization of the hamiltonian path integral [23] in field theory. We perform also semi-classical limits.
D. Nualart, M. Sanz (1985)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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Mireille Capitaine (2000)
Séminaire de probabilités de Strasbourg
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Samy Tindel (2000)
Applicationes Mathematicae
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We consider the equation du(t,x)=Lu(t,x)+b(u(t,x))dtdx+σ(u(t,x))dW(t,x) where t belongs to a real interval [0,T], x belongs to an open (not necessarily bounded) domain , and L is a pseudodifferential operator. We show that under sufficient smoothness and nondegeneracy conditions on L, the law of the solution u(t,x) at a fixed point is absolutely continuous with respect to the Lebesgue measure.
Marta Sanz-Solé, Iván Torrecilla-Tarantino (2007)
ESAIM: Probability and Statistics
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We prove the existence and smoothness of density for the solution of a hyperbolic SPDE with free term coefficients depending on time, under hypoelliptic non degeneracy conditions. The result extends those proved in Cattiaux and Mesnager, (2002) 453-483 to an infinite dimensional setting.
Mireille Chaleyat-Maurel, David Nualart (1995)
Séminaire de probabilités de Strasbourg
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Léandre, Rémi (2010)
Advances in Mathematical Physics
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