658 citations · 1.9k across the 78 of their papers we have counts for
5 papers · 2 filters
Ising model on trees and factors of IID
Danny Nam, Allan Sly, Lingfu Zhang
We study the ferromagnetic Ising model on the infinite -regular tree under the free boundary condition. This model is known to be a factor of IID in the uniqueness regime, when…
The random walk on upper triangular matrices over
Evita Nestoridi, Allan Sly
We study a natural random walk on the upper triangular matrices, with entries in , generated by steps which add or subtract a uniformly random…
Optimal Recovery of Block Models with Communities
Byron Chin, Allan Sly
This paper is motivated by the reconstruction problem on the sparse stochastic block model. The paper "Belief Propagation, robust reconstruction and optimal recovery of block model…
The critical one-dimensional multi-particle DLA
Dor Elboim, Danny Nam, Allan Sly
We study one-dimensional multi-particle Diffusion Limited Aggregation (MDLA) at its critical density . Previous works have verified that the size of the aggregate at tim…
Universality of cutoff for graphs with an added random matching
Jonathan Hermon, Allan Sly, Perla Sousi
We establish universality of cutoff for simple random walk on a class of random graphs defined as follows. Given a finite graph with even we define a random graph $…