Spectral Problem of Block-rectangular Hierarchical Matrices

B. Gutkin; V. A. Osipov

doi:10.1007/s10955-011-0162-6

Spectral Problem of Block-rectangular Hierarchical Matrices

B. Gutkin
, V. A. Osipov

University of Duisburg-Essen

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The spectral problem for matrices with a block-hierarchical structure is often considered in context of the theory of complex systems. In the present article, a new class of matrices with a block-rectangular non-symmetric hierarchical structure is introduced and the corresponding spectral problem is investigated. Using these results we study a model of error generation in information sequence where such block-rectangular hierarchical matrices appear in a natural way.

Original language	English
Pages (from-to)	72-87
Number of pages	16
Journal	Journal of Statistical Physics
Volume	143
Issue number	1
DOIs	https://doi.org/10.1007/s10955-011-0162-6
State	Published - Apr 2011
Externally published	Yes

Keywords

Block-hierarchical matrices
Block-rectangular hierarchical matrices
Chaos
Evolution of sequences
Matrix spectrum
Ultrametrics

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10.1007/s10955-011-0162-6

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abstract = "The spectral problem for matrices with a block-hierarchical structure is often considered in context of the theory of complex systems. In the present article, a new class of matrices with a block-rectangular non-symmetric hierarchical structure is introduced and the corresponding spectral problem is investigated. Using these results we study a model of error generation in information sequence where such block-rectangular hierarchical matrices appear in a natural way.",

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KW - Block-hierarchical matrices

KW - Block-rectangular hierarchical matrices

KW - Chaos

KW - Evolution of sequences

KW - Matrix spectrum

KW - Ultrametrics

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Spectral Problem of Block-rectangular Hierarchical Matrices

Abstract

Keywords

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