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Ultrametric matrices and representation theory

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 07 Oct 1997Embargo end date: 01 Jan 1997Publisher:IOP PublishingJournal:Journal of Physics A: Mathematical and General, volume 30, pages 6,811-6,820 (issn: 0305-4470, eissn: 1361-6447,

Authors: P. Bantay; G. Zala;

doi: 10.1088/0305-4470/30/19/019 , 10.48550/arxiv.cond-mat/9705041

arXiv: http://arxiv.org/abs/cond-mat/9705041

Ultrametric matrices and representation theory

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Abstract

The consequences of replica-symmetry breaking on the structure of ultrametric matrices appearing in the theory of disordered systems is investigated with the help of representation theory, and the results are compared with those obtained by Temesvari, De Dominicis and Kondor.

13 pages, 1 figure (in LaTeX), submitted to J. Phys. A.: Math. Gen

Related Organizations

Eötvös Loránd University
Hungary

Keywords

replica-symmetry breaking, disordered systems, Applications of Lie groups to the sciences; explicit representations, FOS: Physical sciences, representation theory, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, ultrametric matrices

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