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Volumn 9, Issue 1, 1996, Pages 171-189

A martingale approach to directed polymers in a random environment

Author keywords

Directed polymers; Martingales; Random environment; Random walks; Wiener process

Indexed keywords


EID: 0039687978     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02213739     Document Type: Article
Times cited : (35)

References (16)
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    • Bolthausen, E. (1989). A note on the diffusion of directed polymers in a random environment, Comm. Math. Phys. 123, 529-534.
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    • Bolthausen, E.1
  • 2
    • 0001044333 scopus 로고
    • Polymers on disordered trees, spin glasses, and traveling waves
    • Derrida, B. Spohn, H. (1988). Polymers on disordered trees, spin glasses, and traveling waves, J. Stat. Phys. 51, 817-840.
    • (1988) J. Stat. Phys. , vol.51 , pp. 817-840
    • Derrida, B.1    Spohn, H.2
  • 6
    • 0000878714 scopus 로고
    • Pinning and roughening of domain walls in Ising systems due to random impurities
    • Huse, D. A., Henley, C. L. (1985). Pinning and roughening of domain walls in Ising systems due to random impurities, Phys. Rev. Lett. 54, 2708-2711.
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 2708-2711
    • Huse, D.A.1    Henley, C.L.2
  • 7
    • 0013394544 scopus 로고
    • Directed polymers in a random environment, "Mathematical Quantum Field Theory and Related Topics"
    • Imbrie, J. (1988). Directed polymers in a random environment, "Mathematical Quantum Field Theory and Related Topics," CMS Conference Proc. 9, 83-90.
    • (1988) CMS Conference Proc. , vol.9 , pp. 83-90
    • Imbrie, J.1
  • 8
    • 0001100265 scopus 로고
    • Diffusion of directed polymers in a random environment
    • Imbrie, J., Spencer, T. (1988). Diffusion of directed polymers in a random environment, J. Stat. Phys. 52, 609-626.
    • (1988) J. Stat. Phys. , vol.52 , pp. 609-626
    • Imbrie, J.1    Spencer, T.2
  • 9
    • 0001257558 scopus 로고
    • Roughening by impurities at finite temperatures
    • Kardar, M. (1985). Roughening by impurities at finite temperatures, Phys. Rev. Lett. 55, 2923.
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 2923
    • Kardar, M.1
  • 10
    • 35949009068 scopus 로고
    • Scaling of directed polymers in random media
    • Kardar, M., Zhang, Y. C. (1987). Scaling of directed polymers in random media, Phys. Rev. Lett. 58, 2087-2090.
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 2087-2090
    • Kardar, M.1    Zhang, Y.C.2
  • 11
    • 0000264803 scopus 로고
    • Aspects of first-passage percolation
    • Springer-Verlag
    • Kesten, H. (1986). Aspects of first-passage percolation, Springer-Verlag, Lect. Notes in Math. 1180, 125-264.
    • (1986) Lect. Notes in Math. , vol.1180 , pp. 125-264
    • Kesten, H.1
  • 12
    • 0000872791 scopus 로고
    • On the speed of convergence in first-passage percolation
    • Kesten, H. (1993). On the speed of convergence in first-passage percolation, Ann. Appl. Prob. 3, 296-338.
    • (1993) Ann. Appl. Prob. , vol.3 , pp. 296-338
    • Kesten, H.1
  • 16
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    • Fluctuations of existence functions of quenched random couplings
    • Wehr, J., and Aizenman, M. (1990). Fluctuations of existence functions of quenched random couplings, J. Stat. Phys. 60, 287-306.
    • (1990) J. Stat. Phys. , vol.60 , pp. 287-306
    • Wehr, J.1    Aizenman, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.