1 citations · 1 across the 2 of their papers we have counts for
4 papers
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…
Spatially Adaptive Online Prediction of Piecewise Regular Functions
Sabyasachi Chatterjee, Subhajit Goswami
We consider the problem of estimating piecewise regular functions in an online setting, i.e., the data arrive sequentially and at any round our task is to predict the value of the…
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 ).…
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…