890 citations · 8.4k across the 209 of their papers we have counts for
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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…
Probing Non-Integer Dimensions
P. L. Krapivsky, S. Redner
We show that two-dimensional convection-diffusion problems with a radial sink or source at the origin may be recast as a pure diffusion problem in a fictitious space in which the s…
Flows on Graphs with Random Capacities
T. Antal, P. L. Krapivsky
We investigate flows on graphs whose links have random capacities. For binary trees we derive the probability distribution for the maximal flow from the root to a leaf, and show th…
Condensates in Driven Aggregation Processes
E. Ben-Naim, P. L. Krapivsky
We investigate aggregation driven by mass injection. In this stochastic process, mass is added with constant rate r and clusters merge at a constant total rate 1, so that both the…
Weak Disorder in Fibonacci Sequences
E. Ben-Naim, P. L. Krapivsky
We study how weak disorder affects the growth of the Fibonacci series. We introduce a family of stochastic sequences that grow by the normal Fibonacci recursion with probability 1-…