203 citations · 3.5k across the 97 of their papers we have counts for
5 papers · 2 filters
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…
Winning quick and dirty: the greedy random walk
E. Ben-Naim, S. Redner
As a strategy to complete games quickly, we investigate one-dimensional random walks where the step length increases deterministically upon each return to the origin. When the step…
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 (…
Unicyclic Components in Random Graphs
E. Ben-Naim, P. L. Krapivsky
The distribution of unicyclic components in a random graph is obtained analytically. The number of unicyclic components of a given size approaches a self-similar form in the vicini…
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<=…