3 papers
math.CV2026
On the Loewner energy of a welding homeomorphism
Shuo Fan, Fredrik Viklund, Yilin Wang
To any Jordan curve one may associate a circle homeomorphism via conformal welding. Through this correspondence, the Loewner energy , also kn…
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…