126 citations · 656 across the 18 of their papers we have counts for
18 papers
The scaling limit of the KPZ equation in space dimension 3 and higher
Jacques Magnen, Jérémie Unterberger
We study in the present article the Kardar-Parisi-Zhang (KPZ) equation $$ \partial_t h(t,x)=νΔh(t,x)+λ|\nabla h(t,x)|^2 +\sqrt{D}\, η(t,x), \qquad (t,x)\in\mathbb{R}_+\times\mathbb…
Parametric Cutoffs for Interacting Fermi Liquids
Margherita Disertori, Jacques Magnen, Vincent Rivasseau
We introduce a new multiscale decomposition of the Fermi propagator based on its parametric representation. We prove that the corresponding sliced propagator obeys the same direct…
From constructive field theory to fractional stochastic calculus. (II) Constructive proof of convergence for the Lévy area of fractional Brownian motion with Hurst index
Jacques Magnen, Jérémie Unterberger
{Let be a -dimensional fractional Brownian motion with Hurst index , or more generally a Gaussian process whose paths have the same local regulari…
From constructive field theory to fractional stochastic calculus. (I) An introduction: rough path theory and perturbative heuristics
Jacques Magnen, Jérémie Unterberger
Let be a -dimensional fractional Brownian motion with Hurst index , or more generally a Gaussian process whose paths have the same local regular…
Quantum Corrections in the Group Field Theory Formulation of the EPRL/FK Models
Thomas Krajewski, Jacques Magnen, Vincent Rivasseau +2
We investigate the group field theory formulation of the EPRL/FK spin foam models. These models aim at a dynamical, i.e. non-topological formulation of 4D quantum gravity. We intro…
From constructive field theory to fractional stochastic calculus. (I) The Lévy area of fractional Brownian motion with Hurst index
J. Magnen, J. Unterberger
Let be a -dimensional fractional Brownian motion with Hurst index . Defining properly iterated integrals of is a difficult task because of…