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math.PR2023★ 1 cited
Derivation of all structure constants for boundary Liouville CFT
Morris Ang, Guillaume Remy, Xin Sun +1
We prove that the probabilistic definition of the most general boundary three-point and bulk-boundary structure constants in Liouville conformal field theory (LCFT) agree respectiv…
math.PR2020
Integrability of boundary Liouville conformal field theory
Guillaume Remy, Tunan Zhu
Liouville conformal field theory (LCFT) is considered on a simply connected domain with boundary, specializing to the case where the Liouville potential is integrated only over the…
math.PR2018
The distribution of Gaussian multiplicative chaos on the unit interval
Guillaume Remy, Tunan Zhu
We consider a sub-critical Gaussian multiplicative chaos (GMC) measure defined on the unit interval [0,1] and prove an exact formula for the fractional moments of the total mass of…