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Volumn 359, Issue 1-4, 2006, Pages 241-266

Replica symmetry breaking related to a general ultrametric space - II: RSB solutions and the n → 0 limit

Author keywords

Replica method; Ultrametric analysis; Ultrametricity

Indexed keywords

COMPUTATION THEORY; TREES (MATHEMATICS);

EID: 27344459472     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.05.078     Document Type: Article
Times cited : (32)

References (20)
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    • Khrennikov, A.Yu.1    Kozyrev, S.V.2
  • 3
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    • Application of p-adic analysis to models of spontaneous breaking of replica symmetry
    • V.A. Avetisov, A.Kh. Bikulov, S.V. Kozyrev, Application of p -adic analysis to models of spontaneous breaking of replica symmetry, J. Phys. A 32 (1999) 878o5-8791, http://xxx.lanl.gov/abs/cond-mat/9904360,
    • (1999) J. Phys. A , vol.32
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  • 5
    • 0037954479 scopus 로고    scopus 로고
    • P-adic numbers and replica symmetry breaking
    • G.Parisi, N.Sourlas, p -Adic numbers and replica symmetry breaking, Eur. Phys. J. B 14 (2000) 535-542, http://xxx.lanl.gov/abs/cond-mat/9906095.
    • (2000) Eur. Phys. J. B , vol.14 , pp. 535-542
    • Parisi, G.1    Sourlas, N.2
  • 8
    • 33645471877 scopus 로고    scopus 로고
    • Pseudodifferential operators on ultrametric spaces and ultrametric wavelets
    • Preprint 02143 (2002) of MSI, Växjö University, Sweden to appear
    • A.Yu. Khrennikov, S.V. Kozyrev, Pseudodifferential operators on ultrametric spaces and ultrametric wavelets, Preprint 02143 (2002) of MSI, Växjö University, Sweden, http://arxiv.org/abs/math-ph/0412062, Russ. Math. Izv. 69 (2005), to appear.
    • (2005) Russ. Math. Izv. , vol.69
    • Khrennikov, A.Yu.1    Kozyrev, S.V.2
  • 14
    • 1842422082 scopus 로고    scopus 로고
    • P-adic discrete dynamical systems and their applications in physics and cognitive sciences
    • A. Khrennikov, p -Adic discrete dynamical systems and their applications in physics and cognitive sciences, Russ. J. Math. Phys. 11(1) (2004) pp. 45-70.
    • (2004) Russ. J. Math. Phys. , vol.11 , Issue.1 , pp. 45-70
    • Khrennikov, A.1
  • 16
    • 3843060681 scopus 로고    scopus 로고
    • Wavelet analysis as a p-adic spectral analysis
    • S.V. Kozyrev, Wavelet analysis as a p -adic spectral analysis, Russ. Math. Izv. 66(2) (2002) 367, http://arxiv.org/abs/math-ph/0012019.
    • (2002) Russ. Math. Izv. , vol.66 , Issue.2 , pp. 367
    • Kozyrev, S.V.1
  • 17
    • 3843128604 scopus 로고    scopus 로고
    • P-adic pseudodifferential operators and p-adic wavelets
    • S.V. Kozyrev, p -Adic pseudodifferential operators and p -adic wavelets, Theor. Math. Phys. 138(3) (2004) 322-332, http://arxiv.org/abs/math-ph/0303045.
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  • 18
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    • A wavelet theory for local fields and related groups
    • J.J. Benedetto, and R.L. Benedetto A wavelet theory for local fields and related groups J. Geometric Anal. 14 3 2004 423 456
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    • Benedetto, J.J.1    Benedetto, R.L.2
  • 20
    • 0041882032 scopus 로고    scopus 로고
    • P-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
    • V.A. Avetisov, A.Kh. Bikulov, S.V. Kozyrev, V.A. Osipov, p -Adic Models of Ultrametric Diffusion Constrained by Hierarchical Energy Landscapes, J. Phys. A Math. Gen. 35 (2002) 177-189, http://arxiv.org/abs/cond-mat/0106506.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.