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math.PR2020
Geodesics and metric ball boundaries in Liouville quantum gravity
Ewain Gwynne, Joshua Pfeffer, Scott Sheffield
Recent works have shown that there is a canonical way to to assign a metric (distance function) to a Liouville quantum gravity (LQG) surface for any parameter . We esta…
math.PR2020★ 2 cited
Brownian loops and the central charge of a Liouville random surface
Morris Ang, Minjae Park, Joshua Pfeffer +1
We explore the geometric meaning of the so-called zeta-regularized determinant of the Laplace-Beltrami operator on a compact surface, with or without boundary. We relate the $(-c/2…