Publications [#243451] of Richard T. Durrett

Papers Published

1. Durrett, R; Schonmann, RH; Tanaka, NI, Correlation lengths for oriented percolation, Journal of Statistical Physics, vol. 55 no. 5-6 (June, 1989), pp. 965-979, Springer Nature, ISSN 0022-4715 [doi]
   (last updated on 2024/04/19)

   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. © 1989 Plenum Publishing Corporation.