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Spectral bounds for ergodic Jacobi operators

Published 6 Jul 2024 in math.SP | (2407.04962v1)

Abstract: We consider ergodic Jacobi operators and obtain estimates on the Lebesgue measure and the distance between maximum and minimum points of the spectrum in terms of the Lyapunov exponent. Our proofs are based on results from logarithmic potential theory and their connections with spectral theory of Jacobi operators.

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