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math.PR2018
A Littlewood-Paley description of modelled distributions
Jörg Martin, Nicolas Perkowski
We exhibit a fundamental link between Hairer's theory of regularity structures and the paracontrolled calculus of Gubinelli, Imkeller and Perkowski. By using paraproducts we provid…
math.PR2017
Solution to the stochastic Schrödinger equation on the full space
Arnaud Debussche, Jörg Martin
We here show how the methods recently applied by [DW16] to solve the stochastic nonlinear Schrödinger equation on can be enhanced to yield solutions on $\mathbb{R}^2…