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- W3104090295 abstract "The conformal loop ensemble $operatorname{CLE}_{kappa}$ with parameter $8/3<kappa<8$ is the canonical conformally invariant measure on countably infinite collections of noncrossing loops in a simply connected domain. Given $kappa$ and $nu$, we compute the almost-sure Hausdorff dimension of the set of points $z$ for which the number of CLE loops surrounding the disk of radius $varepsilon $ centered at $z$ has asymptotic growth $nulog(1/varepsilon )$ as $varepsilon to0$. By extending these results to a setting in which the loops are given i.i.d. weights, we give a CLE-based treatment of the extremes of the Gaussian free field." @default.
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- W3104090295 date "2016-03-01" @default.
- W3104090295 modified "2023-10-11" @default.
- W3104090295 title "Extreme nesting in the conformal loop ensemble" @default.
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- W3104090295 doi "https://doi.org/10.1214/14-aop995" @default.
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