Hölder continuity of the Lyapunov exponent for analytic quasiperiodic Schrödinger cocycle with weak Liouville frequency
type: Item
instance of: scholarly article
title: Hölder continuity of the Lyapunov exponent for analytic quasiperiodic Schrödinger cocycle with weak Liouville frequency
zbMATH Open document ID: 1315.39004
author: Jiangong You
author: Shiwen Zhang
published in: Ergodic Theory and Dynamical Systems
publication date: 2014-10-21T00:00:00Z
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 37H15
Mathematics Subject Classification ID: 26A16
zbMATH DE Number: 6359417
zbMATH Keywords: discrete quasi-periodic Schrödinger equation
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: Schrödinger cocycle
zbMATH Keywords: avalanche principle
MaRDI profile type: Publication
OpenAlex ID: W2120782486
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cites work: On nonperturbative localization with quasi-periodic potential.
cites work: Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials
cites work: Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles
cites work: Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues
cites work: Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions
cites work: On the multiplicative ergodic theorem for uniquely ergodic systems
cites work: Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices
cites work: Positivity and continuity of the Lyapunov exponent for shifts on \(\mathbb T^d\) with arbitrary frequency vector and real analytic potential
DOI: 10.1017/ETDS.2013.4
reviewed by: Ivan Podvigin
description: scientific article; zbMATH DE number 6359417