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Journal of Experimental and Theoretical Physics

, Volume 109, Issue 3, pp 485–504

First Online: 24 October 2009Received: 20 March 2009

Abstract

The investigation of spectral properties of random block-hierarchical matrices as applied to dynamic and structural characteristics of complex hierarchical systems with disorder is proposed for the first time. Peculiarities of dynamics on random ultrametric energy landscapes are discussed and the statistical properties of scale-free and polyscale depending on the topological characteristics under investigation random hierarchical networks graphs obtained by multiple mapping are considered.

PACS numbers05.40.a 87.15.hg Original Russian Text © V.A. Avetisov, A.Kh. Bikulov, O.A. Vasilyev, S.K. Nechaev, A.V. Chertovich, 2009, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 136, No. 3, pp. 566–588.

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Author: V. A. Avetisov - A. Kh. Bikulov - O. A. Vasilyev - S. K. Nechaev - A. V. Chertovich

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