Positive Lyapunov exponents and a Large Deviation Theorem for continuum Anderson models, briefly

Positive Lyapunov exponents and a Large Deviation Theorem for continuum Anderson models, briefly
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简述连续介质安德森模型的正李雅普诺夫指数和大偏差定理

DOI:
10.1016/j.jfa.2019.05.028
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发表时间:
2019-02
影响因子:
1.7
通讯作者:
ZhengheZhang
ZhengheZhang
中科院分区:
数学1区
文献类型:
--
作者:
Valmir Bucaj;David Damanik;Jake Fillman;Vitaly Gerbuz;Tom V;enBoom;Fengpeng Wang;ZhengheZhang

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In this short note, we prove positivity of the Lyapunov expo-nent for 1D continuum Anderson models by leveraging some classical tools from inverse spectral theory. The argument is much simpler than the existing proof due to Damanik–Sims–Stolz, and it covers a wider variety of random models. Along the way we note that a Large Deviation Theorem holds uni-formly on compacts.
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