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math.CV2024
Piecewise geodesic Jordan curves II: Loewner energy, projective structures, and accessory parameters
Mario Bonk, Janne Junnila, Steffen Rohde +1
In this paper we consider Jordan curves on the Riemann sphere passing through given points. We show that in each relative isotopy class of such curves, there exists a uni…
math.PR2024
Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra
Maria Gordina, Wei Qian, Yilin Wang
We use the SLE loop measure to construct a natural representation of the Virasoro algebra of central charge . In particular, we introduce a non-degenerate bilin…