Math @ Duke

Publications [#243451] of Richard T. Durrett
Papers Published
 Durrett, R; Schonmann, RH; Tanaka, NI, Correlation lengths for oriented percolation,
Journal of Statistical Physics, vol. 55 no. 56
(1989),
pp. 965979, ISSN 00224715 [doi]
(last updated on 2018/03/24)
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 twodimensional 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. © 1989 Plenum Publishing Corporation.


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