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Salzano, Marcia; Schonmann, Roberto H.

A new proof that for the contact process on homogeneous trees local survival implies complete convergence. (English) Zbl 0937.60094

Ann. Probab. 26, No. 3, 1251-1258 (1998).
Summary: We provide a new proof, substantially simpler than Y. Zhang’s original one [ibid. 24, No. 3, 1408-1443 (1996; Zbl 0876.60092)] that for the contact process on homogeneous trees, local survival implies complete convergence.

Cited in 1 Review
Cited in 9 Documents

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory

Keywords:

contact process; complete convergence; homogeneous trees; local survival; ergodic behavior

Citations:

Zbl 0876.60092
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Full Text: DOI

References:

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