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July 2008 Coincidence of Lyapunov exponents for random walks in weak random potentials
Markus Flury
Ann. Probab. 36(4): 1528-1583 (July 2008). DOI: 10.1214/00-AOP368

Abstract

We investigate the free energy of nearest-neighbor random walks on ℤd, endowed with a drift along the first axis and evolving in a nonnegative random potential given by i.i.d. random variables. Our main result concerns the ballistic regime in dimensions d≥4, at which we show that quenched and annealed Lyapunov exponents are equal as soon as the strength of the potential is small enough.

Citation

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Markus Flury. "Coincidence of Lyapunov exponents for random walks in weak random potentials." Ann. Probab. 36 (4) 1528 - 1583, July 2008. https://doi.org/10.1214/00-AOP368

Information

Published: July 2008
First available in Project Euclid: 29 July 2008

zbMATH: 1156.60076
MathSciNet: MR2435858
Digital Object Identifier: 10.1214/00-AOP368

Subjects:
Primary: 60K37
Secondary: 34D08, 60K35

Rights: Copyright © 2008 Institute of Mathematical Statistics

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Vol.36 • No. 4 • July 2008
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