Journal of Statistical Physics

, Volume 55, Issue 5–6, pp 965–979 | Cite as

Correlation lengths for oriented percolation

  • Richard Durrett
  • Roberto H. Schonmann
  • Nelson I. Tanaka
Articles

Abstract

Oriented percolation has two correlation lengths, one in the “space” and one in the “time” direction. In this paper we define these quantities for the two-dimensional model in terms of the exponential decay of suitably chosen quantities, and study the relationship between the various definitions. The definitions are used in a companion paper to prove inequalities between critical exponents.

Key words

Correlation lengths oriented percolation 

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Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • Richard Durrett
    • 1
  • Roberto H. Schonmann
    • 1
    • 2
  • Nelson I. Tanaka
    • 1
    • 2
  1. 1.Cornell UniversityIthaca
  2. 2.University of São PauloSão PauloBrazil

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