Coincidence of Lyapunov exponents for random walks in weak random potentials
نویسندگان
چکیده
منابع مشابه
Coincidence of Lyapunov Exponents for Random Walks in Weak Random Potentials
We investigate the free energy of nearest-neighbor random walks on Z d , 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.
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2008
ISSN: 0091-1798
DOI: 10.1214/00-aop368