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Information × Registration Number 2109U000749, Article popup.category Стаття Title popup.author popup.publication 01-01-2009 popup.source_user Сумський державний університет popup.source http://essuir.sumdu.edu.ua/handle/123456789/2761 popup.publisher Physica A Description Within the framework of generalized combinatorial approaches, complexity is determined as a disorder measure for hierarchical statistical ensembles related to Cayley trees possessing arbitrary branching and number of levels. With strengthening hierarchical coupling, the complexity is shown to increase monotonically to the limit value that grows with tree branching. In contrast to the temperature dependence of thermodynamic entropy, the complexity is reduced by the variance of hierarchical statistical ensemble if the branching exponent does not exceed the gold mean. Time dependencies are found for both the probability distribution over ensemble states and the related complexity. The latter is found explicitly for self-similar ensemble and generalized for arbitrary hierarchical trees. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/2761 popup.nrat_date 2025-05-12 Close