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


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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