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- W2912151970 abstract "In this article we study the tail probability of the mass of Gaussian multiplicative chaos. With the novel use of a Tauberian argument and Goldie's implicit renewal theorem, we provide a unified approach to general log-correlated Gaussian fields in arbitrary dimension and derive precise first order asymptotics of the tail probability, resolving a conjecture of Rhodes and Vargas. The leading order is described by a universal constant that captures the generic property of Gaussian multiplicative chaos, and may be seen as the analogue of the Liouville unit volume reflection coefficients in higher dimensions." @default.
- W2912151970 created "2019-02-21" @default.
- W2912151970 creator A5045780627 @default.
- W2912151970 date "2019-02-11" @default.
- W2912151970 modified "2023-09-27" @default.
- W2912151970 title "Universal tail profile of Gaussian multiplicative chaos" @default.
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