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.
Brownian winding fields
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abstract
The purpose of the present note is to review and improve the convergence of the renormalized winding fields.
fields
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Brownian Loops, Layering Fields and Imaginary Gaussian Multiplicative Chaos
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.