Replica symmetry breaking related to a general ultrametric space I: replica matrices and functionals
Disordered Systems and Neural Networks
2009-11-11 v1
Abstract
Family of replica matrices, related to general ultrametric spaces, is introduced. These matrices generalize the known Parisi matrices. Some functionals of replica approach are computed.
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Cite
@article{arxiv.cond-mat/0603685,
title = {Replica symmetry breaking related to a general ultrametric space I: replica matrices and functionals},
author = {A. Yu. Khrennikov and S. V. Kozyrev},
journal= {arXiv preprint arXiv:cond-mat/0603685},
year = {2009}
}
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19 pages