890 citations · 8.4k across the 209 of their papers we have counts for
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Degree Distributions of Growing Networks
P. L. Krapivsky, G. J. Rodgers, S. Redner
The in-degree and out-degree distributions of a growing network model are determined. The in-degree is the number of incoming links to a given node (and vice versa for out-degree.…
Organization of Growing Random Networks
P. L. Krapivsky, S. Redner
The organizational development of growing random networks is investigated. These growing networks are built by adding nodes successively and linking each to an earlier node of degr…
Fate of Zero-Temperature Ising Ferromagnets
V. Spirin, P. L. Krapivsky, S. Redner
We investigate the relaxation of homogeneous Ising ferromagnets on finite lattices with zero-temperature spin-flip dynamics. On the square lattice, a frozen two-stripe state is app…
Fragmentation with a Steady Source
E. Ben-Naim, P. L. Krapivsky
We investigate fragmentation processes with a steady input of fragments. We find that the size distribution approaches a stationary form which exhibits a power law divergence in th…
Traveling Waves, Front Selection, and Exact Nontrivial Exponents in a Random Fragmentation Problem
P. L. Krapivsky, Satya N. Majumdar
We study a random bisection problem where an initial interval of length x is cut into two random fragments at the first stage, then each of these two fragments is cut further, etc.…
Stochastic Aggregation: Scaling Properties
E. Ben-Naim, P. L. Krapivsky
We study scaling properties of stochastic aggregation processes in one dimension. Numerical simulations for both diffusive and ballistic transport show that the mass distribution i…