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H\'older continuity of the integrated density of states for Liouville frequencies
- Publication Year :
- 2024
-
Abstract
- We prove H\"older continuity of the Lyapunov exponent $L(\omega,E)$ and the integrated density of states at energies that satisfy $L(\omega,E)>4\kappa(\omega,E)\cdot \beta(\omega)\geq 0$ for general analytic potentials, with $\kappa(\omega,E)$ being Avila's acceleration.
- Subjects :
- Mathematical Physics
Mathematics - Dynamical Systems
Mathematics - Spectral Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2408.15962
- Document Type :
- Working Paper