A Brownian motion version of the directed polymer problem

Journal of Statistical Physics

Volumn 84, Issue 3-4, 1996, Pages 415-454

  Conlon, Joseph G ^a   Olsen, Peder A ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Brownian motion; Directed polymer; Spectral gap; Transfer matrix

Indexed keywords

EID: 0030210213     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02179650     Document Type: Article

References (6)

1. E. Bolthausen, A note on the diffusion of directed polymers in a random environment, Commun. Math. Phys. 123:529-534 (1989).
2. L. Breiman, Probability (Addison-Wesley, Reading, Massachusetts, 1968).
3. J. Z. Imbrie and T. Spencer, Diffusion of directed polymers in a random environment, J. Stat. Phys. 52:609-626 (1988).
4. M. Krasnoselskii, Positive Solutions of Operator Equations (Noordhoff, Groningen, 1964).
5. D. Ruelle, Statistical Mechanics-Rigorous Results (Benjamin, 1969).
6. A. Taylor, Functional Analysis ( Wiley, New York, 1958).