Cluster formation in a stepping-stone model with continuous, hierarchically structured sites
Evans, Steven N. ; Fleischmann, Klaus
Ann. Probab., Tome 24 (1996) no. 2, p. 1926-1952 / Harvested from Project Euclid
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A stepping-stone model with site space a continuous, hierarchical group is constructed via duality with a system of (delayed) coalescing "stable" Lévy processes. This model can be understood as a continuum limit of discrete state-space, two-allele, genetics models with hierarchically structured resampling and migration. The existence of a process rescaling limit on suitably related large space and time scales is established and interpreted in terms of the dynamics of cluster formation. This paper was inspired by recent work of Klenke.
Publié le : 1996-10-14
Classification:  Interacting diffusion,  stochastic partial differential equation,  measure-valued process,  stepping-stone model,  Fisher-Wright diffusion,  cluster formation,  clustering,  coalescing Lévy process,  hierarchical structure,  resampling,  migration,  60K35,  60J60,  60B15,  60J30 
@article{1041903211,
     author = {Evans, Steven N. and Fleischmann, Klaus},
     title = {Cluster formation in a stepping-stone model with continuous,
 hierarchically structured sites},
     journal = {Ann. Probab.},
     volume = {24},
     number = {2},
     year = {1996},
     pages = { 1926-1952},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1041903211}
}

Evans, Steven N.; Fleischmann, Klaus. Cluster formation in a stepping-stone model with continuous,
 hierarchically structured sites. Ann. Probab., Tome 24 (1996) no. 2, pp.  1926-1952. http://gdmltest.u-ga.fr/item/1041903211/