On the critical-subcritical moments of moments of random characteristic polynomials: a GMC perspective

We study the ‘critical moments’ of subcritical Gaussian multiplicative chaos (GMCs) in dimensions d≤2. In particular, we establish a fully explicit formula for the leading order asymptotics, which is closely related to large deviation results for GMCs and demonstrates a similar universality feature....

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Bibliographic Details
Main Authors: Keating, J, Wong, MD
Format: Journal article
Language:English
Published: Springer 2022