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Introduction to percolation theory
Preface to the Second Edition Preface to the First Edition Introduction: Forest Fires, Fractal Oil Fields, and Diffusion What is percolation? Forest fires Oil fields and fractals Diffusion inExpand
A guide to first-passage processes
Preface Errata 1. First-passage fundamentals 2. First passage in an interval 3. Semi-infinite system 4. Illustrations of first passage in simple geometries 5. Fractal and nonfractal networks 6.Expand
How popular is your paper? An empirical study of the citation distribution
Abstract:Numerical data for the distribution of citations are examined for: (i) papers published in 1981 in journals which are catalogued by the Institute for Scientific Information (783,339 papers)Expand
Organization of growing random networks.
  • P. Krapivsky, S. Redner
  • Mathematics, Medicine
  • Physical review. E, Statistical, nonlinear, and…
  • 6 November 2000
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 degree k with anExpand
A Kinetic View of Statistical Physics
1. Aperitifs 2. Diffusion 3. Collisions 4. Exclusion 5. Aggregation 6. Fragmentation 7. Adsorption 8. Spin dynamics 9. Coarsening 10. Disorder 11. Hysteresis 12. Population dynamics 13. DiffusiveExpand
Connectivity of growing random networks.
A solution for the time- and age-dependent connectivity distribution of a growing random network is presented. The network is built by adding sites that link to earlier sites with a probability A(k)Expand
Finding scientific gems with Google's PageRank algorithm
We apply the Google PageRank algorithm to assess the relative importance of all publications in the Physical Review family of journals from 1893 to 2003. Expand
Citation statistics from 110 years of physical review
Publicly available data reveal long-term systematic features about citation statistics and how papers are referenced. The data also tell fascinating citation histories of individual articles.
Voter model on heterogeneous graphs.
We study the voter model on heterogeneous graphs. We exploit the nonconservation of the magnetization to characterize how consensus is reached. For a network of N nodes with an arbitrary butExpand
Voter models on heterogeneous networks.
We study simple interacting particle systems on heterogeneous networks, including the voter model and the invasion process. These are both two-state models in which in an update event an individualExpand