Replica symmetry breaking related to a general ultrametric space I: Replica matrices and functionals

A.Yu. Khrennikov and S.V. Kozyrev

Physica A: Statistical Mechanics and its Applications, 2006, vol. 359, issue C, 222-240

Abstract: A family of replica matrices, related to general ultrametric spaces, is introduced. These matrices generalize the known Parisi matrices. Some functionals of the replica approach are computed.

Keywords: Replica method; Ultrametricity; Ultrametric analysis (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:359:y:2006:i:c:p:222-240

DOI: 10.1016/j.physa.2005.05.077

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