Geodesic
$p$-Adic Pseudodifferential Operators and Analytic Continuation of Replica Matrices
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 2, pp. 336-341

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We consider the procedure for analytic continuation of the replica matrix. We formulate a particular form of this procedure in which the analytic continuation is defined by a sequence of maps. Using this definition, we construct a solution that breaks the Parisi replica symmetry and find the corresponding $p$-adic pseudodifferential operator.
Keywords: $p$-adic pseudodifferential operators, replica method. 
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     author = {A. Yu. Khrennikov and S. V. Kozyrev},
     title = {$p${-Adic} {Pseudodifferential} {Operators} and {Analytic} {Continuation} of {Replica} {Matrices}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {336--341},
     publisher = {mathdoc},
     volume = {144},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a10/}
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A. Yu. Khrennikov; S. V. Kozyrev. $p$-Adic Pseudodifferential Operators and Analytic Continuation of Replica Matrices. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 2, pp. 336-341. http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a10/