Intermittency and ageing for the symbiotic branching model
Aurzada, Frank ; Döring, Leif
Ann. Inst. H. Poincaré Probab. Statist., Tome 47 (2011) no. 1, p. 376-394 / Harvested from Project Euclid
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For the symbiotic branching model introduced in [Stochastic Process. Appl. 114 (2004) 127–160], it is shown that ageing and intermittency exhibit different behaviour for negative, zero, and positive correlations. Our approach also provides an alternative, elementary proof and refinements of classical results concerning second moments of the parabolic Anderson model with Brownian potential. Some refinements to more general (also infinite range) kernels of recent ageing results of [Ann. Inst. H. Poincaré Probab. Statist. 43 (2007) 461–480] for interacting diffusions are given.
Publié le : 2011-05-15
Classification:  Ageing,  Interacting diffusions,  Intermittency,  Mutually catalytic branching model,  Parabolic Anderson model,  Symbiotic branching model,  60K35,  60J55 
@article{1300887274,
     author = {Aurzada, Frank and D\"oring, Leif},
     title = {Intermittency and ageing for the symbiotic branching model},
     journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
     volume = {47},
     number = {1},
     year = {2011},
     pages = { 376-394},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1300887274}
}

Aurzada, Frank; Döring, Leif. Intermittency and ageing for the symbiotic branching model. Ann. Inst. H. Poincaré Probab. Statist., Tome 47 (2011) no. 1, pp.  376-394. http://gdmltest.u-ga.fr/item/1300887274/