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math.PR2023
Inverse of the Gaussian multiplicative chaos: Lehto welding of Independent Quantum disks
Ilia Binder, Tomas Kojar
In this article, we use the framework of "Random conformal weldings" (by K. Astala, P. Jones, A. Kupiainen, E. Saksman) to prove the existence of Lehto-welding for the inverse for…
math.PR2023
Inverse of the Gaussian multiplicative chaos: an integration by parts formula
Tomas Kojar
In this article, we study the analogue of the integration by parts formula from "Hitting times for Gaussian processes" in the context of GMC and its inverse.
math.PR2023
Inverse of the Gaussian multiplicative chaos: Moments
Ilia Binder, Tomas Kojar
In this article we systematically study the general properties and the single-point moments of the inverse of the Gaussian multiplicative chaos.