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Volumn 345, Issue 11, 2007, Pages 653-656

On one property of Derrida-Ruelle cascades

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EID: 36348946823     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2007.10.035     Document Type: Article
Times cited : (10)

References (14)
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  • 3
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    • Bolthausen E., and Sznitman A.-S. On Ruelle's probability cascades and an abstract cavity method. Comm. Math. Phys. 197 2 (1998) 247-276
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    • Bolthausen, E.1    Sznitman, A.-S.2
  • 4
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    • Derrida's generalized random energy models I, Models with finitely many hierarchies
    • Bovier A., and Kurkova I. Derrida's generalized random energy models I, Models with finitely many hierarchies. Ann. Inst. H. Poincaré Probab. Statist. 40 (2004) 439-480
    • (2004) Ann. Inst. H. Poincaré Probab. Statist. , vol.40 , pp. 439-480
    • Bovier, A.1    Kurkova, I.2
  • 5
    • 4243861085 scopus 로고
    • Random-energy model: An exactly solvable model of disordered systems
    • Derrida B. Random-energy model: An exactly solvable model of disordered systems. Phys. Rev. B 24 (1981) 2613-2626
    • (1981) Phys. Rev. B , vol.24 , pp. 2613-2626
    • Derrida, B.1
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    • A generalization of the random energy model which includes correlations between energies
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    • Derrida, B.1
  • 7
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    • Broken replica symmetry bounds in the mean field spin glass model
    • Guerra F. Broken replica symmetry bounds in the mean field spin glass model. Commun. Math. Phys. 233 1 (2003) 1-12
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    • Guerra, F.1
  • 9
    • 8744274369 scopus 로고    scopus 로고
    • Bounds for diluted mean-fields spin glass models
    • Panchenko D., and Talagrand M. Bounds for diluted mean-fields spin glass models. Probab. Theory Related Fields 130 3 (2004) 319-336
    • (2004) Probab. Theory Related Fields , vol.130 , Issue.3 , pp. 319-336
    • Panchenko, D.1    Talagrand, M.2
  • 10
    • 36348967830 scopus 로고    scopus 로고
    • D. Panchenko, M. Talagrand, Guerra's interpolation using Derrida-Ruelle cascades, preprint, arxiv:0709.1514
  • 11
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    • A mathematical reformulation of Derrida's REM and GREM
    • Ruelle D. A mathematical reformulation of Derrida's REM and GREM. Commun. Math. Phys. 108 2 (1987) 225-239
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    • Ruelle, D.1
  • 12
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    • Characterization of invariant measures at the leading edge for competing particle systems
    • Ruzmaikina A., and Aizenman M. Characterization of invariant measures at the leading edge for competing particle systems. Ann. Probab. 33 1 (2005) 82-113
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  • 14
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    • Parisi formula
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.