10 citations · 13 across the 9 of their papers we have counts for
9 papers
One-step replica symmetry breaking of random regular NAE-SAT II
Danny Nam, Allan Sly, Youngtak Sohn
Continuing our earlier work in \cite{nss20a}, we study the random regular k-NAE-SAT model in the condensation regime. In \cite{nss20a}, the 1RSB properties of the model were establ…
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…
One-step replica symmetry breaking of random regular NAE-SAT I
Danny Nam, Allan Sly, Youngtak Sohn
In a broad class of sparse random constraint satisfaction problems(CSP), deep heuristics from statistical physics predict that there is a condensation phase transition before the s…
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…
Critical value asymptotics for the contact process on random graphs
Danny Nam, Oanh Nguyen, Allan Sly
Recent progress in the study of the contact process [2] has verified that the extinction-survival threshold on a Galton-Watson tree is strictly positive if and only if the of…
A discontinuous phase transition in the threshold- contact process on random graphs
Danny Nam
We study the discrete-time threshold- contact process on random graphs of general degrees. For random graphs with a given degree distribution , we show that if is l…