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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...
Intrinsic ergodicity beyond specification: beta-shifts, S-gap shifts, and their factors
beta-shifts S-gap shifts factors
2010/11/18
We give sufficient conditions for a shift space $(\Sigma,\sigma)$ to be intrinsically ergodic, along with sufficient conditions for every subshift factor of $\Sigma$ to be intrinsically ergodic. As a...