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arXiv · 1501.01028

H\"older continuity of the integrated density of states for quasi-periodic Jacobi operators

Kai Tao·Mircea Voda
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Abstract

We show H\"older continuity for the integrated density of states of a quasi-periodic Jacobi operator with analytic coefficients, in the regime of positive Lyapunov exponent and with a strong Diophantine condition on the frequency. In particular, when the coefficients are trigonometric polynomials we express the H\"older exponent in terms of the degrees of the coefficients.

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Kai Tao, Mircea Voda. 2015-01-05. H\"older continuity of the integrated density of states for quasi-periodic Jacobi operators. https://arxiv.org/abs/1501.01028

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