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Volumn 89, Issue 3-4, 1997, Pages 581-603

Directed polymers in a random environment: Some results on fluctuations

Author keywords

Directed polymers; Free energy; Random environment; Scaling relations; Variance

Indexed keywords


EID: 0000842131     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02765537     Document Type: Article
Times cited : (28)

References (29)
  • 1
    • 0000768885 scopus 로고
    • Directed paths in a random potential
    • D. S. Fisher and D. A. Huse, Directed paths in a random potential. Phys. Rev. B 43:10728 (1991).
    • (1991) Phys. Rev. B , vol.43 , pp. 10728
    • Fisher, D.S.1    Huse, D.A.2
  • 2
    • 0000878714 scopus 로고
    • Pinning and roughening of domain walls in Ising systems due to random impurities
    • D. A. Huse and C. L. Henley, Pinning and roughening of domain walls in Ising systems due to random impurities, Phys. Rev. Lett. 54:2708-2711 (1985).
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 2708-2711
    • Huse, D.A.1    Henley, C.L.2
  • 4
    • 0001016480 scopus 로고
    • Anomalous fluctuations of directed polymers in random media
    • T. Hwa and D. S. Fisher, Anomalous fluctuations of directed polymers in random media, Phys. Rev. B, 49:3136 (1994).
    • (1994) Phys. Rev. B , vol.49 , pp. 3136
    • Hwa, T.1    Fisher, D.S.2
  • 5
  • 6
    • 0001257558 scopus 로고
    • Roughening by impurities at finite temperatures
    • M. Kardar, Roughening by impurities at finite temperatures, Phys. Rev. Lett. 55:2923 (1985).
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 2923
    • Kardar, M.1
  • 7
    • 35949009068 scopus 로고
    • Scaling of directed polymers in random media
    • M. Kardar and Y.-C. Zhang, Scaling of directed polymers in random media, Phys. Rev. Lett. 58:2087-2090 (1987).
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 2087-2090
    • Kardar, M.1    Zhang, Y.-C.2
  • 8
    • 0039481281 scopus 로고    scopus 로고
    • Approximation of subadditive functions and convergence rates in limiting-shape results
    • to appear
    • K. Alexander, Approximation of subadditive functions and convergence rates in limiting-shape results, Ann. Probab. (to appear).
    • Ann. Probab.
    • Alexander, K.1
  • 9
    • 0000872791 scopus 로고
    • On the speed of convergence in first passage percolation
    • H. Kesten, On the speed of convergence in first passage percolation, Ann. Appl. Probab. 3:296-338 (1993).
    • (1993) Ann. Appl. Probab. , vol.3 , pp. 296-338
    • Kesten, H.1
  • 10
    • 0001754757 scopus 로고
    • Divergence of shape fluctuations in two dimensions
    • C. M. Newman and M. S. T. Piza, Divergence of shape fluctuations in two dimensions, Ann. Probab. 23:977-1005 (1995).
    • (1995) Ann. Probab. , vol.23 , pp. 977-1005
    • Newman, C.M.1    Piza, M.S.T.2
  • 11
    • 0000733381 scopus 로고
    • Fluctuations of extensive functions of quenched random couplings
    • J. Wehr and M. Aizenman, Fluctuations of extensive functions of quenched random couplings, J. Stat. Phys. 60:287-306 (1990).
    • (1990) J. Stat. Phys. , vol.60 , pp. 287-306
    • Wehr, J.1    Aizenman, M.2
  • 12
    • 0000264803 scopus 로고    scopus 로고
    • Aspects of first passage percolation
    • Springer-Verlag
    • H. Kesten, Aspects of first passage percolation. In Lecture Notes in Mathematics, vol. 1180 125-264, Springer-Verlag.
    • Lecture Notes in Mathematics , vol.1180 , pp. 125-264
    • Kesten, H.1
  • 14
    • 0001100265 scopus 로고
    • Diffusion of directed polymers in a random environment
    • J. Z. Imbrie and T. Spencer, Diffusion of directed polymers in a random environment, J. Stat. Phys. 52:608-626 (1988).
    • (1988) J. Stat. Phys. , vol.52 , pp. 608-626
    • Imbrie, J.Z.1    Spencer, T.2
  • 15
    • 0001397647 scopus 로고
    • A note on the diffusion of directed polymers in a random environment
    • E. Bolthausen, A note on the diffusion of directed polymers in a random environment, Comm. Math. Phys. 123:529-534 (1989).
    • (1989) Comm. Math. Phys. , vol.123 , pp. 529-534
    • Bolthausen, E.1
  • 16
    • 0001656464 scopus 로고
    • The ergodic theory of subadditive stochastic processes
    • J. F. C. Kingman, The ergodic theory of subadditive stochastic processes, J. Roy. Stat. Soc. B. 30:499-510 (1968).
    • (1968) J. Roy. Stat. Soc. B. , vol.30 , pp. 499-510
    • Kingman, J.F.C.1
  • 17
    • 0038447811 scopus 로고
    • An improved subadditive ergodic theorem
    • T. M. Liggett, An improved subadditive ergodic theorem, Ann. Probab. 13:1279-1285 (1985).
    • (1985) Ann. Probab. , vol.13 , pp. 1279-1285
    • Liggett, T.M.1
  • 19
    • 0013523416 scopus 로고
    • The shape of the limit set in Richardson's growth model
    • R. Durrett and T. M. Liggett, The shape of the limit set in Richardson's growth model, Ann. Probab. 9:186-193 (1981).
    • (1981) Ann. Probab. , vol.9 , pp. 186-193
    • Durrett, R.1    Liggett, T.M.2
  • 20
    • 0040834449 scopus 로고    scopus 로고
    • A remark on diffusion of directed polymers in random environments
    • R. Song and X. Y. Zhou, A remark on diffusion of directed polymers in random environments, J. Stat. Phys. 277-289 (1996).
    • (1996) J. Stat. Phys. , pp. 277-289
    • Song, R.1    Zhou, X.Y.2
  • 21
    • 0030527760 scopus 로고    scopus 로고
    • Diffusion of directed polymers in a strong random environment
    • P. Olsen and R. Song, Diffusion of directed polymers in a strong random environment, J. Stat. Phys. 83:727-738 (1996).
    • (1996) J. Stat. Phys. , vol.83 , pp. 727-738
    • Olsen, P.1    Song, R.2
  • 22
    • 0000313893 scopus 로고
    • A remark concerning random walks in random potentials
    • Y. G. Sinai, A remark concerning random walks in random potentials, Fund. Math. 147:173-180 (1995).
    • (1995) Fund. Math. , vol.147 , pp. 173-180
    • Sinai, Y.G.1
  • 23
    • 84976077801 scopus 로고
    • Oriented percolation in dimensions d ≥ 4: Bounds and asymptotic formulas
    • J. T. Cox and R. Durret, Oriented percolation in dimensions d ≥ 4: bounds and asymptotic formulas, Math. Proc. Camb. Phil Soc. 93:151-162 (1983).
    • (1983) Math. Proc. Camb. Phil Soc. , vol.93 , pp. 151-162
    • Cox, J.T.1    Durret, R.2
  • 24
    • 0002032107 scopus 로고
    • Disordered hierarchical lattices
    • J. Cook and B. Derrida, Disordered hierarchical lattices, J. Stat. Phys. 57:89-139 (1989).
    • (1989) J. Stat. Phys. , vol.57 , pp. 89-139
    • Cook, J.1    Derrida, B.2
  • 25
    • 0030372589 scopus 로고    scopus 로고
    • Distance fluctuations and Lyapunov exponents
    • A. S. Sznitman, Distance fluctuations and Lyapunov exponents, Ann. Probab. 24:1507-1530 (1996).
    • (1996) Ann. Probab. , vol.24 , pp. 1507-1530
    • Sznitman, A.S.1
  • 26
    • 0000872792 scopus 로고
    • A note on some rates of convergence in first-passage percolation
    • K. Alexander, A note on some rates of convergence in first-passage percolation, Ann. Appl. Probab. 3:81-90 (1993).
    • (1993) Ann. Appl. Probab. , vol.3 , pp. 81-90
    • Alexander, K.1
  • 27
    • 84971124131 scopus 로고
    • Generalization of the fundamental theorem on subadditive functions
    • J. M. Hammersley, Generalization of the fundamental theorem on subadditive functions, Proc. Camb. Phil. Soc. 58:235-238 (1961).
    • (1961) Proc. Camb. Phil. Soc. , vol.58 , pp. 235-238
    • Hammersley, J.M.1
  • 29
    • 4243700996 scopus 로고
    • Interacting flux lines in a random medium
    • H. Kinzelbach and M. Lassig, Interacting flux lines in a random medium, Phys. Rev. Lett. 75:2208-2211 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 2208-2211
    • Kinzelbach, H.1    Lassig, M.2


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