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math.PR2025
Onsager--Machlup functional for multiple SLEs
Shuo Fan
Recently, Carfagnini and Wang established that the loop Loewner energy can be interpreted as the Onsager--Machlup functional for the SLE loop measure. In this paper, we first inter…
math.PR2025
Quasi-invariance for SLE welding measures
Shuo Fan, Jinwoo Sung
A large class of Jordan curves on the Riemann sphere can be encoded by circle homeomorphisms via conformal welding, among which we consider the welding homeomorphism of the random…