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Mean field bounds on Lyapunov exponents in Z d at the critical energy
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  • Published: April 2001

Mean field bounds on Lyapunov exponents in Z d at the critical energy

  • Wei-Min Wang1 

Probability Theory and Related Fields volume 119, pages 453–474 (2001)Cite this article

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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].

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Authors and Affiliations

  1. UMR 8628 du CNRS, Département de Mathématiques, Université Paris-Sud, Bâtiment 425, 91405 Orsay Cedex, France. e-mail: Wei-min.wang@math.u-psud.fr, , , , , , FR

    Wei-Min Wang

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  1. Wei-Min Wang
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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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  • Issue Date: April 2001

  • DOI: https://doi.org/10.1007/PL00008767

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  • Mathematics Subject Classification (2000): 35P, 60K, 81V
  • Key words or phrases: Supersymmetry – Lyapunov exponents
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