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• W2185877765 abstract "We propose a new probabilistic approach to the analysis of decay of the Green's functions and the eigenfunctions of the Anderson Hamiltonians on count- able graphs. Our method is close in spirit to the Frac- tional Moment Method, but we show how the use of the fractional moments can be avoided, so that exponen- tial decay of the Green's functions can be established in some models where the fractional moments diverge, due to low regularity of the random potential. We elucidate the exceptional role of the Holder continuity condition, usual in the FMM, in terms of Cramer's condition in the large deviations problem for a suitably constructed rigorous path expansion." @default.
• W2185877765 created "2016-06-24" @default.
• W2185877765 creator A5046885100 @default.
• W2185877765 date "2013-10-01" @default.
• W2185877765 modified "2023-10-16" @default.
• W2185877765 title "Lyapunov Exponents and Large Deviations Analysis of Eigenfunctions in Anderson Models on Graphs" @default.
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• W2185877765 doi "https://doi.org/10.13189/ms.2013.010304" @default.
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