Ultrametric Matrices and Representation Theory
P. Bantay, G. Zala (Eotvos University, Budapest)
TL;DR
This paper explores how replica-symmetry breaking influences ultrametric matrices in disordered systems using representation theory, comparing findings with previous work by Temesvari, De Dominicis, and Kondor.
Contribution
It introduces a novel application of representation theory to analyze the structure of ultrametric matrices affected by replica-symmetry breaking.
Findings
Ultrametric matrices exhibit specific structural properties under replica-symmetry breaking.
Representation theory provides new insights into the organization of disordered systems.
Results align with and extend previous findings by Temesvari, De Dominicis, and Kondor.
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.
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