Hölder continuity of the integrated density of states for Liouville frequencies

2024/08/28 by Han, Rui, Schlag, Wilhelm · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2408.15962

Abstract

We prove Hölder continuity of the Lyapunov exponent L(ω,E) and the integrated density of states at energies that satisfy L(ω,E)>4κ(ω,E)⋅ β(ω)≥ 0 for general analytic potentials, with κ(ω,E) being Avila's acceleration.

Cited by

• Hölder continuity of the integrated density of states for quasi-periodic Jacobi block matrices

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