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cond-mat.dis-nn2006★ 44 cited
Replica symmetry breaking related to a general ultrametric space II: RSB solutions and the n\to0 limit
A. Yu. Khrennikov, S. V. Kozyrev
Replica symmetry breaking solutions for the new replica anzats, related to general ultrametric spaces, are investigated. A variant of analysis on trees is developed and applied to…
cond-mat.dis-nn2006★ 65 cited
Replica symmetry breaking related to a general ultrametric space I: replica matrices and functionals
A. Yu. Khrennikov, S. V. Kozyrev
Family of replica matrices, related to general ultrametric spaces, is introduced. These matrices generalize the known Parisi matrices. Some functionals of replica approach are comp…