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20112025
most citedHölder continuity of the integrated density of states for quasi-periodic Jacobi operators

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math.DS2025

Discontinuity of Lyapunov exponent in spaces of quasiperiodic cocycles: Smoothness vs Arithmetic

Jinhao Liang, Kai Tao, Jiangong You

We construct examples of discontinuity of Lyapunov exponent in the spaces of quasiperiodic -cocycles for fixed irrational frequencies. Especially, we prov…