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Digitale Medien

Stochastic p.d.e.'s arising from the long range contact and long range voter processes (1995)

Müller, C. ; Tribe, R.

Springer

Probability theory and related fields 102 (1995), S. 519-545

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Details

ISSN: 1432-2064

Schlagwort(e): 60H25 ; 35R60

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Summary A long range contact process and a long range voter process are scaled so that the distance between sites decreases and the number of neighbors of each site increases. The approximate densities of occupied sites, under suitable tine scaling, converge to continuous space time densities which solve stochastic p.d.e.'s. For the contact process the limiting equation is the Kolmogorov-Petrovskii-Piscuinov equation driven by branching white noise. For the voter process the limiting equation is the heat equation driven by Fisher-Wright white noise.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01198848

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