dimensions_id
pub.1018346716
4
1995-12
https://scigraph.springernature.com/explorer/license/
false
519-545
1995-12-01
Stochastic p.d.e.'s arising from the long range contact and long range voter processes
en
articles
research_article
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.
2019-04-11T13:28
http://link.springer.com/10.1007/BF01198848
102
doi
10.1007/bf01198848
C.
MÃ¼ller
R.
Tribe
Engineering
Interdisciplinary Engineering
576a063f4f0cc3bc9851fd59503df16c108fbf73b1e4469dab6fd3b53b1ecb24
readcube_id
Mathematics Institute, University of Warwick, Warwick, USA
Probability Theory and Related Fields
1432-2064
0178-8051
Springer Nature - SN SciGraph project
University of Rochester
Department of Mathematics, University of Rochester, Rochester, USA