1.5k citations · 13.2k across the 148 of their papers we have counts for
5 papers · 1 filter
Smoothing a Rock by Chipping
P. L. Krapivsky, S. Redner
We investigate an idealized model for the size reduction and smoothing of a polygonal rock due to repeated chipping at corners. Each chip is sufficiently small so that only a singl…
Scaling in Tournaments
E. Ben-Naim, S. Redner, F. Vazquez
We study a stochastic process that mimics single-game elimination tournaments. In our model, the outcome of each match is stochastic: the weaker player wins with upset probability…
Social Balance on Networks: The Dynamics of Friendship and Enmity
T. Antal, P. L. Krapivsky, S. Redner
How do social networks evolve when both friendly and unfriendly relations exist? Here we propose a simple dynamics for social networks in which the sense of a relationship can chan…
Finding Scientific Gems with Google
P. Chen, H. Xie, S. Maslov +1
We apply the Google PageRank algorithm to assess the relative importance of all publications in the Physical Review family of journals from 1893--2003. While the Google number and…
Evolutionary dynamics on degree-heterogeneous graphs
T. Antal, S. Redner, V. Sood
The evolution of two species with different fitness is investigated on degree-heterogeneous graphs. The population evolves either by one individual dying and being replaced by the…