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math.PR2022★ 1 cited
Roughness of geodesics in Liouville quantum gravity
Zherui Fan, Subhajit Goswami
The metric associated with the Liouville quantum gravity (LQG) surface has been constructed through a series of recent works and several properties of its associated geodesics have…
math.PR2018
Existence of phase transition for percolation using the Gaussian Free Field
Hugo Duminil-Copin, Subhajit Goswami, Aran Raoufi +2
In this paper, we prove that Bernoulli percolation on bounded degree graphs with isoperimetric dimension undergoes a non-trivial phase transition (in the sense that ).…
math.PR2016
Liouville first passage percolation: the weight exponent is strictly less than 1 at high temperatures
Jian Ding, Subhajit Goswami
Let be a discrete Gaussian free field in a two-dimensional box of side length with Dirichlet boundary conditions. We study the Liouville first pa…