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math.PR2025
A stochastic approach to time-dependent BEC
Luigi Borasi, Francesco C. De Vecchi, Stefania Ugolini
We propose a stochastic description of the dynamics of a Bose-Einstein condensate within the context of Nelson stochastic mechanics. We start from the interacting conservative…
math.PR2025
Random rotational invariance of integration by parts formulas within a Bismut-type approach
Susanna Dehò, Francesco C. De Vecchi, Paola Morando +1
The stochastic rotational invariance of an integration by parts formula inspired by the Bismut approach to Malliavin calculus is proved in the framework of the Lie symmetry theory…
math.PR2023
Non-commutative spaces and Grassmann stochastic analysis
Francesco C. De Vecchi, Luca Fresta, Maria Gordina +1
We introduce a theory of non-commutative spaces suitable for non-commutative probability in a non-tracial setting and use it to develop stochastic analysis of Grassmann-val…