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参考文献

Bol89
Bolthausen, E.: A note on diffusion of directed polymers in a random environment, Commun. Math. Phys. 123, 529-534, (1989).

CSY02
Comets, F., Shiga, T., Yoshida, N. Directed Polymers in Random Environment: Path Localization and Strong Disorder, preprint 2002.

Dur
Durrett, R. :``Probability-Theory and Examples, 2nd Ed., Duxbury Press, 1995.

ImSp88
Imbrie, J. Z. and Spencer, T.: Diffusion of directed polymer in a random environment, J. Stat. Phys. 52, Nos 3/4 609-626, (1988).

KaPe76
Kahane, J. P. and Peyriere, J. : Sur certaines martingales de Benoit Mandelbrot, Adv. in Math. 22, 131-145, (1976).

SoZh96
Song, R. and Zhou, X. Y. : A remark on diffusion on directed polymers in random environment, J. Stat. Phys. 85, Nos.1/2, 277-289, (1996).



Kumiko Matsumura 平成14年10月2日