231 citations · 892 across the 48 of their papers we have counts for
66 papers
Limit law for Brownian cover time of the two dimensional torus
Amir Dembo, Jay Rosen, Ofer Zeitouni
Let denote the time it takes a Brownian motion to come within distance of every point in the two dimensional torus of unit ar…
The law of (1+1)D SOS with an area tilt in a wedge
Amir Dembo, Eyal Lubetzky, Ofer Zeitouni
Motivated by the study of the level lines of the D Solid-On-Solid (SOS) model above a floor, near the corners of the box, we derive the limit law of an ensemble of curve…
Typical structure of sparse exponential random graph models
Nicholas A. Cook, Amir Dembo
We consider general Exponential Random Graph Models (ERGMs) where the sufficient statistics are functions of homomorphism counts for a fixed collection of simple graphs . Wher…
Capacity of the range of random walk: The law of the iterated logarithm
Amir Dembo, Izumi Okada
We establish both the and the law of the iterated logarithm (LIL), for the capacity of the range of a simple random walk in any dimension . While for $d…
On the limiting law of line ensembles of Brownian polymers with geometric area tilts
Amir Dembo, Eyal Lubetzky, Ofer Zeitouni
We study the line ensembles of non-crossing Brownian bridges above a hard wall, each tilted by the area of the region below it with geometrically growing pre-factors. This model, w…
Regularity method and large deviation principles for the Erdős--Rényi hypergraph
Nicholas A. Cook, Amir Dembo, Huy Tuan Pham
We develop a quantitative large deviations theory for random hypergraphs, which rests on tensor decomposition and counting lemmas under a novel family of cut-type norms. As our mai…