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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 2, Pages 336–341
DOI: https://doi.org/10.4213/tmf1858 (Mi tmf1858) 		 
This article is cited in 14 scientific papers (total in 14 papers)

$p$-Adic Pseudodifferential Operators and Analytic Continuation of Replica Matrices

A. Yu. Khrennikova, S. V. Kozyrevb

a Växjö University
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (174 kB) Citations (14)
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DOI: https://doi.org/10.4213/tmf1858
Abstract: 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.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 2, Pages 1166–1170
DOI: https://doi.org/10.1007/s11232-005-0146-2
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Yu. Khrennikov, S. V. Kozyrev, “$p$-Adic Pseudodifferential Operators and Analytic Continuation of Replica Matrices”, TMF, 144:2 (2005), 336–341; Theoret. and Math. Phys., 144:2 (2005), 1166–1170
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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