First-Passage Percolation, Subadditive Processes, Stochastic Networks, and Generalized Renewal Theory

  • Hammersley J
  • Welsh D
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Abstract

In 1957, Broadbent and Hammersley gave a mathematical formulation of percolation theory. Since then much work has been done in this field and has now led to first-passage percolation problems. In the following two examples we contrast the early formulation with its...

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Hammersley, J. M., & Welsh, D. J. A. (1965). First-Passage Percolation, Subadditive Processes, Stochastic Networks, and Generalized Renewal Theory. In Bernoulli 1713 Bayes 1763 Laplace 1813 (pp. 61–110). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-99884-3_7

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