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Digitale Medien

Approximations finies de la mesure invariante do processus de contact sur-critique vu par la première particule (1989)

Galves, Antonio ; Schinazi, Rinaldo

Springer

Probability theory and related fields 83 (1989), S. 435-445

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Details

ISSN: 1432-2064

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Summary For each integern≧1 we consider the contact process as seen from the first particle and we do not allow the process to disappear or to have more thann particles. We prove that the invariant probability of this process converges to a limit whenn goes to infinity. This limit is exactly the invariant probability measure of the usual contact process as seen from the first particle. Durrett [1] has proven the existence of this probability and Galves and Presutti [3] have shown its uniqueness. We get here a new proof of the existence of this probability and a complete convergence theorem for finite and infinite initial configurations.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01845698

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