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Asymptotic ergodicity of the eigenvalues of random operators in the localized phase
Asymptotic ergodicity eigenvalues of random operators localized phase
2011/1/18
We prove that, for a general class of random operators, the family of the unfolded eigenvalues in the localization region is asymptotically ergodic in the sense of N. Minami (see [24]). N. Minami conj...
Some Random Fixed Point Theorems for Non-Self Nonexpansive Random Operators
Random fixed point non-self mappings Nonexpansive random operator inwardness condition
2010/2/26
Let (W, S) be a measurable space, with \sum a sigma-algebra of subsets of W, and let E be a nonempty bounded closed convex and separable subset of a Banach space X, whose characteristic of noncompact ...
Constructive Fractional-Moment Criteria for Localization in Random Operators
Constructive Fractional-Moment Criteria Localization in Random Operators
2010/11/2
We present a family of finite-volume criteria which cover the regime of exponential decay for the fractional moments of Green functions of operators with random potentials. Such decay is a technically...