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Autori principali: Binder, Ilia, Kojar, Tomas
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2405.19382
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author Binder, Ilia
Kojar, Tomas
author_facet Binder, Ilia
Kojar, Tomas
contents In this article we study the decoupling structure and multipoint moment of the inverse of the Gaussian multiplicative chaos. It is also the second part of preliminary work for extending the work in "Random conformal weldings" (by K. Astala, P. Jones, A. Kupiainen, E. Saksman) to the existence of Lehto welding for the inverse. In particular, we prove that the dilatation of the inverse homeomorphism on the positive real line is in $L^{1}([0,1]\times[0,2])$.
format Preprint
id arxiv_https___arxiv_org_abs_2405_19382
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Decoupling and Multipoint moments for the Inverse of the Gaussian multiplicative chaos
Binder, Ilia
Kojar, Tomas
Probability
In this article we study the decoupling structure and multipoint moment of the inverse of the Gaussian multiplicative chaos. It is also the second part of preliminary work for extending the work in "Random conformal weldings" (by K. Astala, P. Jones, A. Kupiainen, E. Saksman) to the existence of Lehto welding for the inverse. In particular, we prove that the dilatation of the inverse homeomorphism on the positive real line is in $L^{1}([0,1]\times[0,2])$.
title Decoupling and Multipoint moments for the Inverse of the Gaussian multiplicative chaos
topic Probability
url https://arxiv.org/abs/2405.19382