58 citations · 102 across the 8 of their papers we have counts for
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math.PR2013
Paracontrolled Distributions and the 3-dimensional Stochastic Quantization Equation
Rémi Catellier, Khalil Chouk
We prove the existence and uniqueness of a local solution to the periodic renormalized model of stochastic quantisation using the method of controlled distributions introdu…
math.PR2013
Skorohod and Stratonovich integration in the plane
Khalil Chouk, Samy Tindel
This article gives an account on various aspects of stochastic calculus in the plane. Specifically, our aim is 3-fold: (i) Derive a pathwise change of variable formula for a path i…
math.AP2013★ 12 cited
Nonlinear PDEs with modulated dispersion I: Nonlinear Schrödinger equations
K. Chouk, M. Gubinelli
We start a study of various nonlinear PDEs under the effect of a modulation in time of the dispersive term. In particular in this paper we consider the modulated non-linear Schrödi…