1.5k citations · 13.2k across the 148 of their papers we have counts for
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Bifurcations and Patterns in Compromise Processes
E. Ben-Naim, P. L. Krapivsky, S. Redner
We study an opinion dynamics model in which agents reach compromise via pairwise interactions. When the opinions of two agents are sufficiently close, they both acquire the average…
Freezing and Slow Evolution in a Constrained Opinion Dynamics Model
F. Vazquez, P. L. Krapivsky, S. Redner
We study opinion formation in a population that consists of leftists, centrists, and rightist. In an interaction between neighboring agents, a centrist and a leftist can become bot…
Finiteness and Fluctuations in Growing Networks
P. L. Krapivsky, S. Redner
We study the role of finiteness and fluctuations about average quantities for basic structural properties of growing networks. We first determine the exact degree distribution of f…
Statistics of Lead Changes in Popularity-Driven Systems
P. L. Krapivsky, S. Redner
We study statistical properties of the highest degree, or most popular, nodes in growing networks. We show that the number of lead changes increases logarithmically with network si…
A Statistical Physics Perspective on Web Growth
P. L. Krapivsky, S. Redner
Approaches from statistical physics are applied to investigate the structure of network models whose growth rules mimic aspects of the evolution of the world-wide web. We first det…
Synchronization and Coarsening (without SOC) in a Forest-Fire Model
K. E. Chan, P. L. Krapivsky, S. Redner
We study the long-time dynamics of a forest-fire model with deterministic tree growth and instantaneous burning of entire forests by stochastic lightning strikes. Asymptotically th…