Landscape dynamics, interbasin kinetics and ultrametric diffusion

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dc.creatorKozyrev, S. V.
dc.date2007-11-09
dc.date.accessioned2026-07-07T08:41:53Z
dc.date.available2026-07-07T08:41:53Z
dc.descriptionWe discuss the interbasin kinetics approximation for random walk on a complex landscape. We show that for a generic landscape the corresponding model of interbasin kinetics is equivalent to an ultrametric diffusion, generated by an ultrametric pseudodifferential operator on the ultrametric space related to the tree of basins. The simplest example of ultrametric diffusion of this kind is described by the p-adic heat equation.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0711.1453
dc.identifierhttp://arxiv.org/abs/0711.1453
dc.identifierIzvestia NAN of Armenia. Mathematics. 2006. V.41. N.5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141813
dc.subjectDisordered Systems and Neural Networks
dc.titleLandscape dynamics, interbasin kinetics and ultrametric diffusion
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