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

  • J. M. Hammersley
  • D. J. A. Welsh

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 more recent developments.

Keywords

Additive Process Percolation Theory Lateral Shift Renewal Theory Nonnegative Random Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin · Heidelberg 1965

Authors and Affiliations

  • J. M. Hammersley
    • 1
  • D. J. A. Welsh
    • 1
  1. 1.Oxford UniversityUK

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