Papers

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An algebraic correspondence between stochastic differential equations and the Martin-Siggia-Rose formalism

Alberto Bonicelli, Claudio Dappiaggi, Nicolò Drago
February 21, 2023
open access link

An Algebraic and Microlocal Approach to the Stochastic Non-linear Schroedinger Equation

Alberto Bonicelli, Claudio Dappiaggi, Paolo Rinaldi
November 11, 2021
Cubic non linear Schrödinger equation, renormalization, stochastic PDEs
open access link

An Algebraic and Microlocal Approach to the Stochastic Non-linear Schroedinger Equation

Alberto Bonicelli, Claudio Dappiaggi, Paolo Rinaldi
November 11, 2021
Cubic non linear Schrödinger equation, renormalization, stochastic PDEs
open access link

Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes

Claudio Dappiaggi, Alessio Marta
January 25, 2021
open access link doi:10.1007/s11040-021-09402-5

A Microlocal Approach to Renormalization in Stochastic PDEs

Claudio Dappiaggi, Nicolò Drago, Paolo Rinaldi, Lorenzo Zambotti
September 16, 2020
renormalization, stochastic PDEs
open access link doi:10.1142/S0219199721500759

A generalization of the propagation of singularities theorem on asymptotically anti-de Sitter spacetimes

Claudio Dappiaggi, Alessio Marta
May 31, 2020
propagation of singularities, asymptotically AdS spacetimes
open access link

Global wave parametrices on globally hyperbolic spacetimes

Matteo Capoferri, Claudio Dappiaggi, Nicolò Drago
January 13, 2020
global parametrices, globally hyperbolic Lorentzian manifolds
open access link J. Math. Anal. Appl. 490 no. 2 (2020) 124316

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary

Claudio Dappiaggi, Nicolò Drago, Rubens Longhi
August 26, 2019
quantum field theory on curved spacetimes, manifolds with boundary, Maxwell 's equations
open access link doi:10.1007/s00023-020-00929-x

The algebra of Wick polynomials of a scalar field on a Riemannian manifold

Claudio Dappiaggi, Nicolò Drago, Paolo Rinaldi
March 04, 2019
wick polynomials, Euclidean quantum field theories
open access link Reviews in Mathematical Physics, Vol. 32, No. 08 2050023 (2020)

The Fermionic Signature Operator in De Sitter Spacetime

Claudio Dappiaggi, Felix Finster, Simone Murro, Emanuela Radici
February 25, 2019
Hadamard states, Ferminic Signature Operator, Dirac operator, de Sitter spacetime
open access link doi:10.1016/j.jmaa.2019.123808

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