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First passage percolation: The stationary case
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  • Published: December 1990

First passage percolation: The stationary case

  • Daniel Boivin1 

Probability Theory and Related Fields volume 86, pages 491–499 (1990)Cite this article

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Summary

If the passage time of the edges of the ℤd lattice are stationary, ergodic and have finite moment of orderp>d, then a.s. the set of vertices that can be reached within timet, has an asymptotic shape ast→∞.

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References

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Authors and Affiliations

  1. Department of Mathematics, The Ohio State University, 43210, Columbus, OH, USA

    Daniel Boivin

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  1. Daniel Boivin
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Boivin, D. First passage percolation: The stationary case. Probab. Th. Rel. Fields 86, 491–499 (1990). https://doi.org/10.1007/BF01198171

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  • Received: 07 July 1989

  • Revised: 23 March 1990

  • Issue Date: December 1990

  • DOI: https://doi.org/10.1007/BF01198171

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Keywords

  • Stochastic Process
  • Probability Theory
  • Mathematical Biology
  • Passage Time
  • Stationary Case
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