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AC spectrum for a class of random operators at small disorder
AC spectrum random operators small disorder Spectral Theory
2011/9/1
Abstract: In this paper we present a class of Anderson type operators with independent, non-stationary (non-decaying) random potentials supported on a subset of positive density in the odd-dimensional...
Semidirect Product of Groupoids, Its Representations and Random Operators
Semidirect Product of Groupoids Representations Random Operators
2011/8/31
Abstract: One of pressing problems in mathematical physics is to find a generalized Poincar\'e symmetry that could be applied to nonflat space-times. As a step in this direction we define the semidire...
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...