12 citations · 22 across the 16 of their papers we have counts for
17 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…
Extremal spectral behavior of weighted random -regular graphs
Jaehun Lee, Kyeongsik Nam
Analyzing the spectral behavior of random matrices with dependency among entries is a challenging problem. The adjacency matrix of the random -regular graph is a prominent examp…
Universality of Poisson-Dirichlet law for log-correlated Gaussian fields via level set statistics
Shirshendu Ganguly, Kyeongsik Nam
Many low temperature disordered systems are expected to exhibit Poisson-Dirichlet (PD) statistics. In this paper, we focus on the case when the underlying disorder is a logarithmic…
Spectral large deviations of sparse random matrices
Shirshendu Ganguly, Ella Hiesmayr, Kyeongsik Nam
Eigenvalues of Wigner matrices has been a major topic of investigation. A particularly important subclass of such random matrices is formed by the adjacency matrix of an Erdős-Rény…
Upper tail behavior of the number of triangles in random graphs with constant average degree
Shirshendu Ganguly, Ella Hiesmayr, Kyeongsik Nam
Let be the number of triangles in an Erdős-Rényi graph on vertices with edge density where is a fixed constant. It is well known that …
Duality for optimal couplings in free probability
Wilfrid Gangbo, David Jekel, Kyeongsik Nam +1
We study the free probabilistic analog of optimal couplings for the quadratic cost, where classical probability spaces are replaced by tracial von Neumann algebras, and probability…
Large deviations for the largest eigenvalue of Gaussian networks with constant average degree
Shirshendu Ganguly, Kyeongsik Nam
Large deviation behavior of the largest eigenvalue of Gaussian networks (Erdős-Rényi random graphs with i.i.d. Gaussian weights on the edges) has been the…
Hydrodynamic limit of the Kawasaki dynamics on the 1D-lattice with strong, finite-range interaction
Younghak Kwon, Georg Menz, Kyeongsik Nam
We derive the hydrodynamic limit of the Kawasaki dynamics for the one-dimensional conservative system of unbounded real-valued spins with arbitrary strong, quadratic and finite-ran…
Sub-critical Exponential random graphs: concentration of measure and some applications
Shirshendu Ganguly, Kyeongsik Nam
The exponential random graph model (ERGM) is a central object in the study of clustering properties in social networks as well as canonical ensembles in statistical physics. Despit…
Large deviations and localization of the microcanonical ensembles given by multiple constraints
Kyeongsik Nam
We develop a unified theory to analyze the microcanonical ensembles with several constraints given by unbounded observables. Several interesting phenomena that do not occur in the…
Hypoelliptic diffusions with singular drifts
Kyeongsik Nam
We establish the well-posedness of stochastic differential equations possessing degenerate diffusions and singular drifts. We prove that SDEs defined on the homogeneous Carnot grou…
Stochastic Differential Equations with Critical Drifts
Kyeongsik Nam
We establish the well-posedness of SDE with the additive noise when a singular drift belongs to the critical spaces. We prove that if the drift belongs to the Orlicz-critical space…