13 citations · 42 across the 11 of their papers we have counts for
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Schauder estimates for germs of distributions on smooth manifolds
Beatrice Costeri, Claudio Dappiaggi, Paolo Rinaldi +1
We discuss germs of distributions on dimensional smooth Riemannian manifolds and, in particular, we derive \emph{multi-level Schauder estimates} without making any further assu…
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…
Besov Wavefront Set
Claudio Dappiaggi, Paolo Rinaldi, Federico Sclavi
We develop a notion of wavefront set aimed at characterizing in Fourier space the directions along which a distribution behaves or not as an element of a specific Besov space. Subs…
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…
On a Microlocal Version of Young's Product Theorem
Claudio Dappiaggi, Paolo Rinaldi, Federico Sclavi
A key result in distribution theory is Young's product theorem which states that the product between two Hölder distributions and $v\in\mathcal{C}…
Reconstruction Theorem for Germs of Distributions on Smooth Manifolds
Paolo Rinaldi, Federico Sclavi
The reconstruction theorem is a cornerstone of the theory of regularity structures [Hai14]. In [CZ20] the authors formulate and prove this result in the language of distributions t…
A Microlocal Approach to Renormalization in Stochastic PDEs
Claudio Dappiaggi, Nicolò Drago, Paolo Rinaldi +1
We present a novel framework for the study of a large class of non-linear stochastic PDEs, which is inspired by the algebraic approach to quantum field theory. The main merit is th…
The algebra of Wick polynomials of a scalar field on a Riemannian manifold
Claudio Dappiaggi, Nicolò Drago, Paolo Rinaldi
On a connected, oriented, smooth Riemannian manifold without boundary we consider a real scalar field whose dynamics is ruled by , a second order elliptic partial differential o…
Ricci Flow from the Renormalization of Nonlinear Sigma Models in the Framework of Euclidean Algebraic Quantum Field Theory
Mauro Carfora, Claudio Dappiaggi, Nicolò Drago +1
The perturbative approach to nonlinear Sigma models and the associated renormalization group flow are discussed within the framework of Euclidean algebraic quantum field theory and…