- 01-112 Wei-Min Wang
- Supersymmetry, Witten complex and Asymptotics for Directional Lyapunov Exponents in $Z^d$
(369K, dvi file)
Mar 26, 01
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Abstract. We study the long distance asymptotics for random walks
in random potentials using the analytical formulation.
Via the supersymmetric representation, the problem is reduced to the
study of certain Witten Laplcians. We obtain the asymptotics for
the directional Lyapunov exponents.