Replica symmetry breaking related to a general ultrametric space III: the case of general measure

Details Replica symmetry breaking related to a general ultrametric space III: the case of general measure Replica symmetry breaking related to a general ultrametric space III: the case of general measure

2006-03-26

arxiv.org/abs/cond-mat/0603694v1

Physica A: Statistical Mechanics and its Applications. 2007. V.378. N.2. P.283-298

Physics

Condensed Matter

Disordered Systems and Neural Networks

21 pages

Scientific paper

Family of replica matrices, related to general ultrametric spaces with
general measures, is introduced. These matrices generalize the known Parisi
matrices. Some functionals of replica approach are computed. Replica symmetry
breaking solution is found.

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