Landscape dynamics, interbasin kinetics and ultrametric diffusion

Details Landscape dynamics, interbasin kinetics and ultrametric diffusion Landscape dynamics, interbasin kinetics and ultrametric diffusion

2007-11-09

arxiv.org/abs/0711.1453v1

Izvestia NAN of Armenia. Mathematics. 2006. V.41. N.5

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages

Scientific paper

We 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.

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