Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#243457] of Richard T. Durrett

Papers Published

  1. Cox, JT; Durrett, R; Schinazi, R, The critical contact process seen from the right edge, Probability Theory and Related Fields, vol. 87 no. 3 (1991), pp. 325-332, ISSN 0178-8051 [doi]
    (last updated on 2018/03/18)

    Durrett (1984) proved the existence of an invariant measure for the critical and supercritical contact process seen from the right edge. Galves and Presutti (1987) proved, in the supercritical case, that the invariant measure was unique, and convergence to it held starting in any semi-infinite initial state. We prove the same for the critical contact process. We also prove that the process starting with one particle, conditioned to survive until time t, converges to the unique invariant measure as t→∞. © 1991 Springer-Verlag.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320