Mean field bounds on Lyapunov exponents in Z
d
at the critical energy |
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| Authors: | Wei-Min Wang |
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| Institution: | (1) UMR 8628 du CNRS, Département de Mathématiques, Université Paris-Sud, Batiment 425, 91405 Orsay Cedex, France. e-mail: Wei-min.wang@math.u-psud.fr, FR |
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| Abstract: | We further develop the supersymmetric formalism initiated in W1] (see also SjW]). We obtain the optimal mean field bounds
at the critical energy for Lyapunov exponents of random walks in random potentials in Z
d
at weak disorder. This extends some of the results in W1].
Received: 9 December 1999 / Revised version: 8 May 2000 /?Published online: 15 February 2001 |
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| Keywords: | Mathematics Subject Classification (2000): 35P 60K 81V |
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