Skip to main content
  • Book
  • © 1978

First-Passage Percolation on the Square Lattice

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

Buy it now

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (10 chapters)

  1. Front Matter

    Pages I-VIII
  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

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

Buy it now

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access