Brownian winding fields

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arxiv 1811.02737 v2 pith:R4TMBUNS submitted 2018-11-07 math.PR

Yves Le Jan This is my paper · ORCID

classification math.PR

keywords fieldswindingbrownianconvergenceimprovenotepurposerenormalized

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The purpose of the present note is to review and improve the convergence of the renormalized winding fields.

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Brownian Loops, Layering Fields and Imaginary Gaussian Multiplicative Chaos
math.PR 2019-08 accept novelty 7.0 of 10

Renormalized Brownian loop soup layering fields converge in an appropriate Sobolev sense to a tilted imaginary Gaussian multiplicative chaos with covariance kernel given by the Brownian loop measure.