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This work is a further development of an approach to the description ofrelaxation processes in complex systems on the basis of the p-adic analysis. Weshow that three types of relaxation fitted into the Kohlrausch-Williams-Wattslaw, the power decay law, or the logarithmic decay law, are similar randomprocesses. Inherently, these processes are ultrametric and are described by thep-adic master equation. The physical meaning of this equation is explained interms of a random walk constrained by a hierarchical energy landscape. We alsodiscuss relations between the relaxation kinetics and the energy landscapes.Comment: AMS-LaTeX (+iopart style), 9 pages, submitted to J.Phys.

p-adic description of characteristic relaxation in complex systems