Electronic Resource
Springer
Probability theory and related fields
102 (1995), S. 519-545
ISSN:
1432-2064
Keywords:
60H25
;
35R60
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01198848
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