Intermittency and ageing for the symbiotic branching model

Frank Aurzada; Leif Döring

Annales de l'I.H.P. Probabilités et statistiques (2011)

  • Volume: 47, Issue: 2, page 376-394
  • ISSN: 0246-0203

Abstract

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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.

How to cite

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Aurzada, Frank, and Döring, Leif. "Intermittency and ageing for the symbiotic branching model." Annales de l'I.H.P. Probabilités et statistiques 47.2 (2011): 376-394. <http://eudml.org/doc/240811>.

@article{Aurzada2011,
abstract = {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.},
author = {Aurzada, Frank, Döring, Leif},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {ageing; interacting diffusions; intermittency; mutually catalytic branching model; parabolic Anderson model; symbiotic branching model},
language = {eng},
number = {2},
pages = {376-394},
publisher = {Gauthier-Villars},
title = {Intermittency and ageing for the symbiotic branching model},
url = {http://eudml.org/doc/240811},
volume = {47},
year = {2011},
}

TY - JOUR
AU - Aurzada, Frank
AU - Döring, Leif
TI - Intermittency and ageing for the symbiotic branching model
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2011
PB - Gauthier-Villars
VL - 47
IS - 2
SP - 376
EP - 394
AB - 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.
LA - eng
KW - ageing; interacting diffusions; intermittency; mutually catalytic branching model; parabolic Anderson model; symbiotic branching model
UR - http://eudml.org/doc/240811
ER -

References

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  12. [12] B. Hughes. Random Walks and Random Environments, Vol. 1. Oxford Univ. Press, New York, 1995. Zbl0820.60053MR1341369
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  14. [14] T. Shiga. Stepping stone models in population genetics and population dynamics. In Stochastic Processes in Physics and Engineering (Bielefeld, 1986) 345–355. Math. Appl. 42. Reidel, Dordrecht, 1988. Zbl0656.92006MR948717
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