The (p,q)-moment of the bulk/boundary quotient of Gaussian multiplicative chaos is finite whenever p is below min(2/γ²+q/2, 4/γ²), and blows up at the 4/γ² boundary.
Renormalization of Critical Gaussian multiplicative chaos and KPZ relation
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Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients
The (p,q)-moment of the bulk/boundary quotient of Gaussian multiplicative chaos is finite whenever p is below min(2/γ²+q/2, 4/γ²), and blows up at the 4/γ² boundary.