English

Spectral problem of block-rectangular hierarchical matrices

Mathematical Physics 2011-04-20 v1 math.MP Statistics Theory Statistics Theory

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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Cite

@article{arxiv.1011.0029,
  title  = {Spectral problem of block-rectangular hierarchical matrices},
  author = {B. Gutkin and V. Al. Osipov},
  journal= {arXiv preprint arXiv:1011.0029},
  year   = {2011}
}

Comments

18 pages, 1 figure

R2 v1 2026-06-21T16:36:21.902Z