Wei-Min Wang
Supersymmetry, Witten Complex and 
Asymptotics for Directional Lyapunov Exponents in $\Z^d$ 
(371K, .dvi)

ABSTRACT.  By using a supersymmetric Gaussian representation, we transform the averaged 
Green's function for random walks in random potentials into a 2-point 
correlation function of a correponding lattice field theory. We study the 
resulting lattice field theory using the Witten Laplacian formulation. We 
obtain the asymptotics for the directional Lyapunov exponents.