314 citations · 678 across the 14 of their papers we have counts for
27 papers
Rank Statistics in Biological Evolution
E. Ben-Naim, P. L. Krapivsky
We present a statistical analysis of biological evolution processes. Specifically, we study the stochastic replication-mutation-death model where the population of a species may gr…
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…
Dynamics of Social Balance on Networks
T. Antal, P. L. Krapivsky, S. Redner
We study the evolution of social networks that contain both friendly and unfriendly pairwise links between individual nodes. The network is endowed with dynamics in which the sense…
A "Burnt Bridge'' Brownian Ratchet
T. Antal, P. L. Krapivsky
Motivated by a biased diffusion of molecular motors with the bias dependent on the state of the substrate, we investigate a random walk on a one-dimensional lattice that contains w…
Kinetic Theory of Random Graphs
E. Ben-Naim, P. L. Krapivsky
Statistical properties of evolving random graphs are analyzed using kinetic theory. Treating the linking process dynamically, structural characteristics such as links, paths, cycle…
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…