6 citations · 6 across the 6 of their papers we have counts for
4 papers · 1 filter
On the stochastic Sine-Gordon model: an interacting field theory approach
Alberto Bonicelli, Claudio Dappiaggi, Paolo Rinaldi
We investigate the massive Sine-Gordon model in the finite ultraviolet regime on the two-dimensional Minkowski spacetime with an additive Gaussian white noise. I…
A microlocal investigation of stochastic partial differential equations for spinors with an application to the Thirring model
Alberto Bonicelli, Beatrice Costeri, Claudio Dappiaggi +1
On a -dimensional Riemannian, spin manifold we consider non-linear, stochastic partial differential equations for spinor fields, driven by a Dirac operator and coupled t…
An algebraic correspondence between stochastic differential equations and the Martin-Siggia-Rose formalism
Alberto Bonicelli, Claudio Dappiaggi, Nicolò Drago
In the realm of complex systems, dynamics is often modeled in terms of a non-linear, stochastic, ordinary differential equation (SDE) with either an additive or a multiplicative Ga…
An Algebraic and Microlocal Approach to the Stochastic Non-linear Schrödinger Equation
Alberto Bonicelli, Claudio Dappiaggi, Paolo Rinaldi
In a recent work [DDRZ20], it has been developed a novel framework aimed at studying at a perturbative level a large class of non-linear, scalar, real, stochastic PDEs and inspired…