Intermittency on catalysts

dc.creator	Gaertner, J.
dc.creator	Hollander, F. den
dc.creator	Maillard, G.
dc.date	2007-06-08
dc.date.accessioned	2026-07-07T08:04:39Z
dc.date.available	2026-07-07T08:04:39Z
dc.description	The present paper provides an overview of results obtained in four recent papers by the authors. These papers address the problem of intermittency for the Parabolic Anderson Model in a \emph{time-dependent random medium}, describing the evolution of a ``reactant'' in the presence of a ``catalyst''. Three examples of catalysts are considered: (1) independent simple random walks; (2) symmetric exclusion process; (3) symmetric voter model. The focus is on the annealed Lyapunov exponents, i.e., the exponential growth rates of the successive moments of the reactant. It turns out that these exponents exhibit an interesting dependence on the dimension and on the diffusion constant.
dc.description	11 pages, invited paper to appear in a Festschrift in honour of Heinrich von Weizsäcker, on the occasion of his 60th birthday, to be published by Cambridge University Press
dc.identifier	https://arxiv.org/abs/0706.1171
dc.identifier	http://arxiv.org/abs/0706.1171
dc.identifier.uri	http://salesiana.dossiersoluciones.com/handle/123456789/130045
dc.subject	Probability
dc.subject	Mathematical Physics
dc.subject	60H25, 82C44 (Primary) 60F10, 35B40 (Secondary)
dc.title	Intermittency on catalysts
dc.type	text

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