22 citations · 30 across the 7 of their papers we have counts for
8 papers
Degree Distribution of Competition-Induced Preferential Attachment Graphs
N. Berger, C. Borgs, J. T. Chayes +2
We introduce a family of one-dimensional geometric growth models, constructed iteratively by locally optimizing the tradeoffs between two competing metrics, and show that this fami…
A lower bound for the chemical distance in sparse long-range percolation models
Noam Berger
We consider long-range percolation in dimension , where distinct sites and are connected with probability . Assuming that is translation…
Competition-Induced Preferential Attachment
N. Berger, C. Borgs, J. T. Chayes +2
Models based on preferential attachment have had much success in reproducing the power law degree distributions which seem ubiquitous in both natural and engineered systems. Here,…
Nonuniqueness for specifications in
Noam Berger, Christopher Hoffman, Vladas Sidoravicius
For every , we construct a regular and continuous specification (-function), which has a variation sequence that is in and which admits multiple Gibbs measures. Combi…
The speed of biased random walk on percolation clusters
Noam Berger, Nina Gantert, Yuval Peres
We consider biased random walk on supercritical percolation clusters in . We show that the random walk is transient and that there are two speed regimes: If the bias is large…
Mixing times of the biased card shuffling and the asymmetric exclusion process
Itai Benjamini, Noam Berger, Christopher Hoffman +1
Consider the following method of card shuffling. Start with a deck of cards numbered 1 through N. Fix a parameter between 0 and 1. In this model a ``shuffle'' consists of u…