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Reply to Comment on "Growth Inside a Corner: The Limiting Interface Shape"
Jason Olejarz, P. L. Krapivsky, S. Redner +1
This is a reply to the comment by Singh and Rajesh (arXiv 1212.0946; to appear in PRL) on our paper Olejarz et al., PRL, 108, 016102 (2012) [arxiv 1109.1253]
Sublinear but Never Superlinear Preferential Attachment by Local Network Growth
Alan Gabel, S. Redner
We investigate a class of network growth rules that are based on a redirection algorithm wherein new nodes are added to a network by linking to a randomly chosen target node with s…
Survival of the Scarcer
Alan Gabel, Baruch Meerson, S. Redner
We investigate extinction dynamics in the paradigmatic model of two competing species A and B that reproduce (A-->2A, B-->2B), self-regulate by annihilation (2A-->0, 2B-->0), and c…
Fate of 2D Kinetic Ising Ferromagnets and Critical Percolation Crossing Probabilities
J. Olejarz, P. L. Krapivsky, S. Redner
We present evidence for a deep connection between the zero-temperature coarsening of the two-dimensional kinetic Ising model (KIM) and critical continuum percolation. In addition t…