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Volumn 86, Issue 5-6, 1997, Pages 1373-1384

A strong law of large numbers for iterated functions of independent random variables

Author keywords

Disordered systems; Hierarchical models; Law of large numbers; Martingales; Self averaging

Indexed keywords


EID: 0031091627     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02183629     Document Type: Article
Times cited : (12)

References (21)
  • 1
    • 84941395042 scopus 로고
    • Ergodic theorems for superadditive processes
    • M. Akcoglu and J. Krengel, Ergodic theorems for superadditive processes, J. Reine Angew. Math. 323:53 (1981).
    • (1981) J. Reine Angew. Math. , vol.323 , pp. 53
    • Akcoglu, M.1    Krengel, J.2
  • 2
    • 0039420498 scopus 로고
    • Probability densities of homogeneous functions: Explicit approximations and applications to percolating networks
    • R. Blumenfeld, Probability densities of homogeneous functions: Explicit approximations and applications to percolating networks, J. Phys. A 21:815 (1988).
    • (1988) J. Phys. A , vol.21 , pp. 815
    • Blumenfeld, R.1
  • 5
    • 0003879615 scopus 로고
    • Pure and random models of statistical mechanics on hierarchical lattices
    • K. Osterwalder and R. Stora, eds. North-Holland, Amsterdam
    • B. Derrida, Pure and random models of statistical mechanics on hierarchical lattices, in Critical Phenomena, Random Systems and Gauge Theories, K. Osterwalder and R. Stora, eds. (North-Holland, Amsterdam, 1986).
    • (1986) Critical Phenomena, Random Systems and Gauge Theories
    • Derrida, B.1
  • 7
    • 2842519417 scopus 로고
    • Nonexistence of spontaneous magnetization in a one-dimensional Ising Ferromagnet
    • F. Dyson, Nonexistence of spontaneous magnetization in a one-dimensional Ising Ferromagnet, Commun. Math. Phys. 12:212 (1969).
    • (1969) Commun. Math. Phys. , vol.12 , pp. 212
    • Dyson, F.1
  • 8
    • 0039420502 scopus 로고
    • Mesoadditive processes and the specific conductivity of lattices
    • J. M. Hammersley, Mesoadditive processes and the specific conductivity of lattices, J. Appl. Prob. 25A:347 (1988).
    • (1988) J. Appl. Prob. , vol.25 A , pp. 347
    • Hammersley, J.M.1
  • 9
    • 51649185883 scopus 로고
    • The renormalization group: A probabilistic view
    • G. Jona-Lasinio, The renormalization group: A probabilistic view, Nuovo Cimento 26B:99 (1975).
    • (1975) Nuovo Cimento , vol.26 B , pp. 99
    • Jona-Lasinio, G.1
  • 10
    • 17544373097 scopus 로고
    • A nontrivial renormalization group fixed point for the Dyson-Baker hierarchical model
    • H. Koch and P. Wittwer, A nontrivial renormalization group fixed point for the Dyson-Baker hierarchical model, Commun. Math. Phys. 164:627 (1994).
    • (1994) Commun. Math. Phys. , vol.164 , pp. 627
    • Koch, H.1    Wittwer, P.2
  • 12
    • 0000171882 scopus 로고
    • An exact renormalization model for earthquakes and material failure. Statics and dynamics
    • W. I. Newman et al., An exact renormalization model for earthquakes and material failure. Statics and dynamics, Physica D 77:200 (1994).
    • (1994) Physica D , vol.77 , pp. 200
    • Newman, W.I.1
  • 14
    • 21144462474 scopus 로고
    • Sample-to-sample fluctuations in the conductivity of a disordered medium
    • T. Schlösser and H. Spohn, Sample-to-sample fluctuations in the conductivity of a disordered medium, J. Stat. Phys. 69:959 (1992).
    • (1992) J. Stat. Phys. , vol.69 , pp. 959
    • Schlösser, T.1    Spohn, H.2
  • 16
    • 0007163992 scopus 로고
    • Hierarchical sequences of random variables
    • I. Shneiberg, Hierarchical sequences of random variables, Theory Prob. Appl. 31:137 (1986).
    • (1986) Theory Prob. Appl. , vol.31 , pp. 137
    • Shneiberg, I.1
  • 18
    • 0040884033 scopus 로고
    • The Schrodinger equation with a random potential
    • K. Osterwalder and R. Stora, eds. North-Holland, Amsterdam
    • T. Spencer, The Schrodinger equation with a random potential, in Critical Phenomena, Random Systems and Gauge Theories, K. Osterwalder and R. Stora, eds. (North-Holland, Amsterdam, 1986).
    • (1986) Critical Phenomena, Random Systems and Gauge Theories
    • Spencer, T.1
  • 19
    • 36149046261 scopus 로고
    • Renormalization group approach for percolation conductivity
    • R. B. Stinchcombe and B. P. Watson, Renormalization group approach for percolation conductivity, J. Phys. C 9:3221 (1976).
    • (1976) J. Phys. C , vol.9 , pp. 3221
    • Stinchcombe, R.B.1    Watson, B.P.2
  • 21
    • 0001898814 scopus 로고
    • The renormalization group and ε-expansion
    • K. Wilson and J. Kogut. The renormalization group and ε-expansion, Phys. Rep. 12C:75 (1975).
    • (1975) Phys. Rep. , vol.12 C , pp. 75
    • Wilson, K.1    Kogut, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.