Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Complex one-frequency cocycles - MaRDI portal

Complex one-frequency cocycles

From MaRDI portal
Publication:479514

DOI10.4171/JEMS/479zbMath1351.37136arXiv1306.1605OpenAlexW2048241281MaRDI QIDQ479514

Artur Avila, Christian Sadel, Svetlana Ya. Jitomirskaya

Publication date: 5 December 2014

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1605




Related Items (34)

On the correspondence between domination and the spectrum of Jacobi operatorsHölder regularity of the integrated density of states for quasi-periodic long-range operators on \(\ell^2(\mathbb{Z}^d)\)Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocyclesJonquières maps and \(\mathrm{SL}(2;\mathbb{C})\)-cocyclesThe set of smooth quasi-periodic Schrödinger cocycles with positive Lyapunov exponent is not openSpectral theory of extended Harper's model and a question by Erdős and SzekeresContinuity of the measure of the spectrum for quasiperiodic Schrödinger operators with rough potentialsAlmost everything about the unitary almost Mathieu operatorNon-perturbative positivity and weak Hölder continuity of Lyapunov exponent for some discrete multivariable Jacobi operatorsOn the Lyapunov exponent for some quasi-periodic cocycles with large parameterGlobal theory of one-frequency Schrödinger operatorsAnalyticity of the Lyapunov exponents of random products of quasi-periodic cocyclesThe continuity problem of Lyapunov exponentsHölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocyclesAnosov-Katok constructions for quasi-periodic \(\operatorname{SL}(2, \mathbb{R})\) cocyclesDynamics and spectral theory of quasi-periodic Schrödinger-type operatorsLarge coupling asymptotics for the entropy of quasi-periodic operatorsOne-dimensional quasiperiodic operators: global theory, duality, and sharp analysis of small denominatorsAn invitation to \(SL_2(\mathbb{R})\) cocycles over random dynamicsOn the almost reducibility conjectureContinuity of the Lyapunov exponents for quasiperiodic cocyclesSpectral characteristics of the unitary critical almost-Mathieu operatorA lower bound on the Lyapunov exponent for the generalized Harper's modelContinuity, positivity and simplicity of the Lyapunov exponents for quasi-periodic cocyclesTopological obstructions to dominated splitting for ergodic translations on the higher dimensional torusJoint continuity of Lyapunov exponent for finitely smooth quasi-periodic Schrödinger cocyclesUnnamed ItemStrong Birkhoff ergodic theorem for subharmonic functions with irrational shift and its application to analytic quasi-periodic cocyclesDensity of positive Lyapunov exponents for symplectic cocyclesSingular analytic linear cocycles with negative infinite Lyapunov exponentsGlobal rigidity for ultra-differentiable quasiperiodic cocycles and its spectral applicationsCantor spectrum of graphene in magnetic fieldsUniform positivity and continuity of Lyapunov exponents for a class of \(C^2\) quasiperiodic Schrödinger cocyclesArithmetic Spectral Transitions for the Maryland Model



Cites Work


This page was built for publication: Complex one-frequency cocycles