Kotani-Last problem and Hardy spaces on surfaces of Widom type [PDF]
A. Volberg, P. YuditskiiIt is a small theory of non almost periodic ergodic families of Jacobi matrices with pure (however) absolutely continuous spectrum. And the reason why this effect may happen: under our "axioms" we found an analytic condition on the resolvent set that is responsible for (exactly equivalent to) this effect.View original: http://arxiv.org/abs/1210.7069
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