Author

Kyeongsik Nam

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Preprint Aug 2026

Logarithmic intermittency of the critical 2D SHF

While the solution to the $1+1$ dimensional stochastic heat equation with multiplicative noise is closely related to the exponential of a Brownian motion, the two-dimensional picture exhibits an additional weak-to-strong disorder transition. In [CSZ'23], the critical two-dimensional stochastic heat flow (SHF) was const...

S. Ganguly, Kyeongsik Nam · 2 citations · ⚡1

Preprint Sep 2026

Bipodal optimizers in the upper-tail variational problem for regular subgraph densities

Let $H$ be a fixed $d$-regular graph with $d\ge2$, and let $t(H,\cdot)$ denote its homomorphism density. We study the upper-tail event $t(H,G(n,p))\ge r^{|E(H)|}$ for fixed $0<p<r<1$ in a dense Erd\H{o}s--R\'enyi random graph $G(n,p)$. Near the Lubetzky--Zhao replica-symmetric phase boundary and away from the exception...

Sang-Ho Lim, Seonghyuk Im, Taeyoung Kim et al. · 0 citations