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Paracontrolled calculus and regularity structures

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arxiv 1812.07919 v3 pith:42DT7VBW submitted 2018-12-19 math.AP

I. Bailleul , M. Hoshino This is my paper · ORCID
classification math.AP
keywords paracontrolledcalculusregularitystructuresadmissiblegivemodelsnatural
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We start in this work the study of the relation between the theory of regularity structures and paracontrolled calculus. We give a paracontrolled representation of the reconstruction operator and provide a natural parametrization of the space of admissible models.

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Cited by 2 Pith papers

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    math.PR 2026-08 accept novelty 7.0 of 10

    For the spectral regularization of Dean-Kawasaki, superpolynomial weak convergence to N-particle empirical measures holds if and only if the initial density is bounded away from zero; otherwise only polynomial rates a...

  2. Dynamics of Stochastic Reaction-Diffusion Equations

    math.PR 2019-08 conditional novelty 2.0 of 10

    This survey maps solution theory and dynamics of stochastic reaction-diffusion equations, reporting known results rather than proving new ones.

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