Mean field bounds on Lyapunov exponents in Zd at the critical energy

• 成果类型: Article
• 署名作者: Wang, WM
• 署名单位: Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/PL00008767
• 发表日期: 2001
• 页码: 453-474
• 关键词: anderson model; smoothness; density; STATES

摘要

We further develop thr 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].