H\'older continuity of the integrated density of states for Liouville frequencies

Autor:	Han, Rui, Schlag, Wilhelm
Rok vydání:	2024
Předmět:	Mathematical Physics Mathematics - Dynamical Systems Mathematics - Spectral Theory
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.15962 Zobrazit plný text záznamu View this record from Arxiv