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Volumn 38, Issue 1, 2010, Pages 327-347

A connection between the ghirlanda-guerra identities and ultrametricity1

Author keywords

Parisi ultrametricity conjecture; Sherrington kirkpatrick model

Indexed keywords


EID: 77953682029     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/09-AOP484     Document Type: Article
Times cited : (46)

References (15)
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  • 2
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    • Aldous, D. J. (1985). Exchangeability and related topics. In École D'été de Probabilités de Saint-Flour, XIII-1983. Lecture Notes in Math. 1117 1-198. Springer, Berlin.
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  • 3
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    • On the structure of quasi-stationary competing particles systems
    • Arguin, L.-P. and Aizenman, M. (2009). On the structure of quasi-stationary competing particles systems. Ann. Probab. 37 1080-1113.
    • (2009) Ann. Probab. , vol.37 , pp. 1080-1113
    • Arguin, L.-P.1    Aizenman, M.2
  • 4
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    • On Ruelle's probability cascades and an abstract cavity method
    • Bolthausen, E. and Sznitman, A.-S. (1998). On Ruelle's probability cascades and an abstract cavity method. Comm. Math. Phys. 197 247-276.
    • (1998) Comm. Math. Phys. , vol.197 , pp. 247-276
    • Bolthausen, E.1    Sznitman, A.-S.2
  • 5
    • 2942556515 scopus 로고    scopus 로고
    • Derrida's generalised random energy models. I. Models with finitely many hierarchies
    • Bovier, A. and Kurkova, I. (2004). Derrida's generalised random energy models. I. Models with finitely many hierarchies. Ann. Inst. H. Poincaré Probab. Statist. 40 439-480.
    • (2004) Ann. Inst. H. Poincaré Probab. Statist. , vol.40 , pp. 439-480
    • Bovier, A.1    Kurkova, I.2
  • 7
    • 0032553281 scopus 로고    scopus 로고
    • General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
    • Ghirlanda, S. and Guerra, F. (1998). General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity. J. Phys. A 31 9149-9155.
    • (1998) J. Phys. A , vol.31 , pp. 9149-9155
    • Ghirlanda, S.1    Guerra, F.2
  • 8
    • 25744443851 scopus 로고
    • A sequence of approximate solutions to the S-K model for spin glasses
    • Parisi, G. (1980). A sequence of approximate solutions to the S-K model for spin glasses. J. Phys. A 13 L115-L121.
    • (1980) J. Phys. A , vol.13
    • Parisi, G.1
  • 9
    • 35548941210 scopus 로고    scopus 로고
    • A note on Talagrand's positivity principle
    • (electronic)
    • Panchenko, D. (2007). A note on Talagrand's positivity principle. Electron. Comm. Probab. 12 401-410 (electronic).
    • (2007) Electron. Comm. Probab. , vol.12 , pp. 401-410
    • Panchenko, D.1
  • 11
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    • A mathematical reformulation of Derrida's REM and GREM
    • Ruelle, D. (1987). A mathematical reformulation of Derrida's REM and GREM. Comm. Math. Phys. 108 225-239.
    • (1987) Comm. Math. Phys. , vol.108 , pp. 225-239
    • Ruelle, D.1
  • 12
    • 14944383950 scopus 로고    scopus 로고
    • Characterization of invariant measures at the leading edge for competing particle systems
    • Ruzmaikina, A. and Aizenman, M. (2005). Characterization of invariant measures at the leading edge for competing particle systems. Ann. Probab. 33 82-113.
    • (2005) Ann. Probab. , vol.33 , pp. 82-113
    • Ruzmaikina, A.1    Aizenman, M.2
  • 15
    • 54349105151 scopus 로고    scopus 로고
    • Construction of pure states in mean-field models for spin glasses
    • To appear
    • Talagrand, M. (2009). Construction of pure states in mean-field models for spin glasses. Probab. Theory Related Fields. To appear.
    • (2009) Probab. Theory Related Fields
    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.