The uniqueness of the Gaussian multiplicative chaos revisited

Abstract

We consider Gaussian multiplicative chaos measures defined in a general setting of metric measure spaces. Uniqueness results are obtained, verifying that different sequences of approximating Gaussian fields lead to the same chaos measure. Specialized to Euclidean spaces, our setup covers both the subcritical chaos and the critical chaos, actually extending to all non-atomic Gaussian chaos measures.

A normalization typo corrected in Theorem 1.3 and added Remark 6.14

References in corpus (1)

• Duality and KPZ in Liouville Quantum Gravity

Cited by in corpus (5)

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