Liouville first passage percolation: geodesic length exponent is strictly larger than 1 at high temperatures

Ding, J; Zhang, FX

Ding, J (reprint author), Univ Chicago, Chicago, IL 60637 USA.

PROBABILITY THEORY AND RELATED FIELDS, 2019; 174 (1-2): 335

Abstract

Let {(v):vVN} be a discrete Gaussian free field in a two-dimensional box VN of side length N with Dirichlet boundary conditions. We study the Liouvill......

Full Text Link