Some physical applications of random hierarchical matrices
Journal Article
·
· Journal of Experimental and Theoretical Physics
- Russian Academy of Sciences, Semenov Institute of Chemical Physics (Russian Federation)
- Max-Planck-Institut fuer Metallforschung (Germany)
- 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, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 3 Vol. 109; ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
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