Theory of hierarchical coupling

Abstract

A recursion relation between the intensity of hierarchical objects at neighbouring levels of a hierarchical tree, the strength of the coupling between them and the level distribution of nodes of the hierarchical tree are proposed. Regular (including Fibonacci), degenerate and irregular trees are considered. It is shown that the strength of hierarchical coupling is an exponentially, logarithmically or power low decreasing function of distance from a common ancestor, respectively. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/2769