321 citations · 764 across the 68 of their papers we have counts for
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Stochastic Camassa-Holm equation with convection type noise
Sergio Albeverio, Zdzisław Brzeźniak, Alexei Daletskii
We consider a stochastic Camassa-Holm equation driven by a one-dimensional Wiener process with a first order differential operator as diffusion coefficient. We prove the existence…
A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field
Sergio Albeverio, Nicolò Cangiotti, Sonia Mazzucchi
A Feynman path integral formula for the Schrödinger equation with magnetic field is rigorously mathematically realized in terms of infinite dimensional oscillatory integrals. We sh…
The elliptic stochastic quantization of some two dimensional Euclidean QFTs
Sergio Albeverio, Francesco C. De Vecchi, Massimiliano Gubinelli
We study a class of elliptic SPDEs with additive Gaussian noise on , with a -dimensional manifold equipped with a positive Radon measure, and a real-v…
Weak symmetries of stochastic differential equations driven by semimartingales with jumps
Sergio Albeverio, Francesco C. De Vecchi, Paola Morando +1
Stochastic symmetries and related invariance properties of finite dimensional SDEs driven by general cadlag semimartingales taking values in Lie groups are defined and investigated…
Strong Kac's chaos in the mean-field Bose-Einstein Condensation
Sergio Albeverio, Francesco C. De Vecchi, Andrea Romano +1
A stochastic approach to the (generic) mean-field limit in Bose-Einstein Condensation is described and the convergence of the ground state energy as well as of its components are e…