1 citations · 1 across the 8 of their papers we have counts for
13 papers
Bipodal optimizers in the upper-tail variational problem for regular subgraph densities
Sangho Lim, Seonghyuk Im, Taeyoung Kim +2
Let be a fixed -regular graph with , and let denote its homomorphism density. We study the upper-tail event for fixed $0<p<r<…
Logarithmic intermittency of the critical 2D SHF
Shirshendu Ganguly, Kyeongsik Nam
While the solution to the dimensional stochastic heat equation with multiplicative noise is closely related to the exponential of a Brownian motion, the two-dimensional pictu…
Sharp moment and upper tail asymptotics for the critical Stochastic Heat Flow
Shirshendu Ganguly, Kyeongsik Nam
While dimensional growth models in the Kardar-Parisi-Zhang universality class have witnessed an explosion of activity, higher dimensional models remain much less explored. Th…
Last passage percolation in hierarchical environments
Shirshendu Ganguly, Victor Ginsburg, Kyeongsik Nam
Last passage percolation (LPP) is a model of a directed metric and a zero-temperature polymer where the main observable is a directed path evolving in a random environment accruing…
The ant on loops: Alexander-Orbach conjecture for the critical level set of the Gaussian free field
Shirshendu Ganguly, Kyeongsik Nam
Alexander and Orbach (AO) in 1982 conjectured that the simple random walk on critical percolation clusters (also known as the ant in the labyrinth) in Euclidean lattices exhibit me…
Large deviations for the isoperimetric constant in 2D percolation
Christian Hirsch, Kyeongsik Nam
Isoperimetric profile describes the minimal boundary size of a set with a prescribed volume. Itai Benjamini conjectured that the isoperimetric profile of the giant component in sup…