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• W3103402011 abstract "We consider unitary analogs of $d-$dimensional Anderson models on $l^2(Z^d)$ defined by the product $U_omega=D_omega S$ where $S$ is a deterministic unitary and $D_omega$ is a diagonal matrix of i.i.d. random phases. The operator $S$ is an absolutely continuous band matrix which depends on parameters controlling the size of its off-diagonal elements. We adapt the method of Aizenman-Molchanov to get exponential estimates on fractional moments of the matrix elements of $U_omega(U_omega -z)^{-1}$, provided the distribution of phases is absolutely continuous and the parameters correspond to small off-diagonal elements of $S$. Such estimates imply almost sure localization for $U_omega$." @default.
• W3103402011 created "2020-11-23" @default.
• W3103402011 creator A5043579062 @default.
• W3103402011 date "2005-04-01" @default.
• W3103402011 modified "2023-09-30" @default.
• W3103402011 title "Fractional Moment Estimates for Random Unitary Operators" @default.
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• W3103402011 doi "https://doi.org/10.1007/s11005-005-3256-8" @default.
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