4 papers
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…
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…
Stochastic Hartree NLS in 3d coming from a Many-Body Quantum System with White Noise Potential
Francesco Carlo De Vecchi, Xiaohao Ji, Immanuel Zachhuber
In this paper, we consider the defocusing Hartree NLS with white noise external potential on T^3 i.e. the Hartree NLS whose linear part is given by the Anderson Hamiltonian. A Stri…
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…