138 citations · 589 across the 13 of their papers we have counts for
8 papers · 1 filter
Polymerization with Freezing
E. Ben-Naim, P. L. Krapivsky
Irreversible aggregation processes involving reactive and frozen clusters are investigated using the rate equation approach. In aggregation events, two clusters join irreversibly t…
Percolation with Multiple Giant Clusters
E. Ben-Naim, P. L. Krapivsky
We study the evolution of percolation with freezing. Specifically, we consider cluster formation via two competing processes: irreversible aggregation and freezing. We find that wh…
Opinion dynamics: rise and fall of political parties
E. Ben-Naim
We analyze the evolution of political organizations using a model in which agents change their opinions via two competing mechanisms. Two agents may interact and reach consensus, a…
Kinetic Theory of Random Graphs: from Paths to Cycles
E. Ben-Naim, P. L. Krapivsky
Structural properties of evolving random graphs are investigated. Treating linking as a dynamic aggregation process, rate equations for the distribution of node to node distances (…
Random Geometric Series
E. Ben-Naim, P. L. Krapivsky
Integer sequences where each element is determined by a previous randomly chosen element are investigated analytically. In particular, the random geometric series x_n=2x_p with 0<=…
Finite Size Fluctuations in Interacting Particle Systems
E. Ben-Naim, P. L. Krapivsky
Fluctuations may govern the fate of an interacting particle system even on the mean-field level. This is demonstrated via a three species cyclic trapping reaction with a large, yet…