Some physical applications of random hierarchical matrices

Journal Article · Tue Sep 15 00:00:00 EDT 2009 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776109090155· OSTI ID:21443600

Avetisov, V A; Bikulov, A Kh ^[1]; Vasilyev, O A ^[2]; Chertovich, A V ^[3]

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1. Russian Academy of Sciences, Semenov Institute of Chemical Physics (Russian Federation)
2. Max-Planck-Institut fuer Metallforschung (Germany)
3. Moscow State University (Russian Federation)

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.

• OSTI ID: 21443600
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 109, Issue 3; Other Information: DOI: 10.1134/S1063776109090155; Copyright (c) 2009 Pleiades Publishing, Ltd.; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GRAPH THEORY
MAPPING
MATRICES
RANDOMNESS
TOPOLOGY
MATHEMATICS