Spectral problem of block-rectangular hierarchical matrices

Details Spectral problem of block-rectangular hierarchical matrices Spectral problem of block-rectangular hierarchical matrices

2010-10-29

arxiv.org/abs/1011.0029v1

Journal of Statistical Physics Volume 143, Number 1, pp.72-87, 2011

Physics

Mathematical Physics

18 pages, 1 figure

Scientific paper

10.1007/s10955-011-0162-6

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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