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First-Passage Percolation on the Square Lattice

  • Book
  • © 1978

Overview

Authors:
  1. R. T. Smythe

    1. Department of Mathematics, University of Oregon, Eugene, USA

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    You can also search for this author in PubMed   Google Scholar

  2. John C. Wierman

    1. School of Mathematics, University of Minnesota, Minnesota, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 671)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Introduction

    • R. T. Smythe, John C. Wierman
    Pages 1-7

  3. Preliminaries

    • R. T. Smythe, John C. Wierman
    Pages 8-27

  4. Bernoulli percolation

    • R. T. Smythe, John C. Wierman
    Pages 28-62

  5. Definition of the basic processes and the existence of routes

    • R. T. Smythe, John C. Wierman
    Pages 63-77

  6. Convergence of the first-passage processes

    • R. T. Smythe, John C. Wierman
    Pages 78-100

  7. Renewal theory for percolation processes

    • R. T. Smythe, John C. Wierman
    Pages 101-110

  8. The time constant

    • R. T. Smythe, John C. Wierman
    Pages 111-127

  9. Route length and the height process

    • R. T. Smythe, John C. Wierman
    Pages 128-157

  10. Other percolation models on the square lattice

    • R. T. Smythe, John C. Wierman
    Pages 158-169

  11. Conjectures and open problems

    • R. T. Smythe, John C. Wierman
    Pages 170-176

  12. Back Matter

    Pages 177-196
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Keywords

Authors and Affiliations

  • Department of Mathematics, University of Oregon, Eugene, USA

    R. T. Smythe

  • School of Mathematics, University of Minnesota, Minnesota, USA

    John C. Wierman

Bibliographic Information

  • Book Title: First-Passage Percolation on the Square Lattice

  • Authors: R. T. Smythe, John C. Wierman

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0063306

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1978

  • Softcover ISBN: 978-3-540-08928-5Published: 01 September 1978

  • eBook ISBN: 978-3-540-35744-5Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 198

  • Topics: Mathematics, general

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