13 citations · 42 across the 11 of their papers we have counts for
12 papers
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…
Parabolic stochastic quantisation of the fractional model in the full subcritical regime
Paweł Duch, Massimiliano Gubinelli, Paolo Rinaldi
We present a construction of the fractional Euclidean quantum field theory on in the full subcritical regime via parabolic stochastic quantisation. Our approac…
Improving Order with Queues
Andreas Karrenbauer, Kurt Mehlhorn, Pranabendu Misra +4
Given a sequence of numbers and parallel First-in-First-Out (FIFO) queues, how close can one bring the sequence to sorted order? It is known that queues suffice to sort…
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…