6 citations · 6 across the 6 of their papers we have counts for
6 papers
Remainders of generalised Taylor expansions and a priori bounds for rough differential equations
Lorenzo Agabiti, Alberto Bonicelli, Lorenzo Zambotti
In this article we establish global a priori estimates on the solution of a generic rough differential equation driven by an -Hölder path covering the full range of regularity $…
Exotic B-series representation of the Feller semigroup for Itô diffusions and the MSR path integral
Alberto Bonicelli
In this paper we consider the expansion of the Feller semigroup of a one-dimensional Itô diffusion as a power series in time. Taking our moves from previous results on expansions l…
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…