A remark concerning random walks with random potentials

• Autorzy: Yakov G. Sinai
• Języki publikacji: EN

Abstrakty

EN

We consider random walks where each path is equipped with a random weight which is stationary and independent in space and time. We show that under some assumptions the arising probability distributions are in a sense uniformly absolutely continuous with respect to the usual probability distribution for symmetric random walks.

Kategorie tematyczne

• 34F05: Equations and systems with randomness

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1995
• Tom: 147
• Numer: 2
• Strony: 173-180

Daty

wydano

1995

otrzymano

1994-12-05

poprawiono

1995-01-30

Twórcy

autor

Yakov G. Sinai

• Mathematics Department, Princeton University, Princeton, New Jersey 08540, U.S.A.
• Landau Institute of Theoretical Physics, Moscow, Russia

Bibliografia

• [1] E. Bolthausen, A note on the diffusion of directed polymers in a random environment, Comm. Math. Phys. 123 (1989), 529-534.
• [2] J. G. Conlon and P. A. Olson, A Brownian motion version of directed polymer problem, preprint, University of Michigan, 1994.
• [3] J. Z. Imbrie and T. Spencer, Diffusion of directed polymers in a random environment, J. Statist. Phys. 52 (1988), 609-626.