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].
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Received: 9 December 1999 / Revised version: 8 May 2000 /¶Published online: 15 February 2001
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Wang, WM. Mean field bounds on Lyapunov exponents in Z d at the critical energy. Probab Theory Relat Fields 119, 453–474 (2001). https://doi.org/10.1007/PL00008767
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DOI: https://doi.org/10.1007/PL00008767
- Mathematics Subject Classification (2000): 35P, 60K, 81V
- Key words or phrases: Supersymmetry – Lyapunov exponents