4 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…