# Landscape dynamics, interbasin kinetics and ultrametric diffusion

Source: [Landscape dynamics, interbasin kinetics and ultrametric diffusion](<https://www.sota2.com/research/paper/68fa211c7a2b558e2933531c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:12.017Z

Authors: S.V. Kozyrev

Published: 2007-11-09T12:37:07.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0711.1453>)

[PDF](<https://arxiv.org/pdf/0711.1453.pdf>)