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Spectral problem of block-rectangular hierarchical matrices

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arxiv 1011.0029 v1 pith:2KDCWBUT submitted 2010-10-29 math-ph math.MPmath.STstat.TH

classification math-phmath.MPmath.STstat.TH
keywords matricesblock-rectangularhierarchicalproblemspectralstructureappeararticle
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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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  1. How Random Are Ergodic Eigenstates of the Ultrametric Random Matrices and the Quantum Sun Model?

    quant-ph 2025-01 conditional novelty 5.0 of 10

    Extreme value statistics of Schmidt eigenvalues reveal deviations from Wishart behavior in ergodic eigenstates of ultrametric random matrices and the Quantum Sun model.

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