Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles (Q6119784)

scientific article; zbMATH DE number 7806905

Language	Label	Description	Also known as
English	Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles	scientific article; zbMATH DE number 7806905

Statements

instance of

scholarly article

0 references

title

Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles (English)

0 references

0 references

0 references

0 references

Annales Henri Poincaré

0 references

publication date

20 February 2024

0 references

full work available at URL

https://arxiv.org/abs/1806.03284

0 references

zbMATH Keywords

Lyapunov exponent

0 references

quasi-periodic Schrödinger cocycles

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Global theory of one-frequency Schrödinger operators

0 references

A KAM scheme for SL(2, $\mathbb R$) cocycles with Liouvillean frequencies

0 references

Almost localization and almost reducibility

0 references

Complex one-frequency cocycles

0 references

Hölder continuity of the rotation number for quasi-periodic co-cycles in ${SL(2, \mathbb R)}$

0 references

Almost periodic Schrödinger operators. II: The integrated density of states

0 references

The dynamics of the Hénon map

0 references

The dynamics of a class of quasi-periodic Schrödinger cocycles

0 references

Genericity of zero Lyapunov exponents

0 references

Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)

0 references

Hölder regularity of integrated density of states for the almost Mathieu operator in a perturbative regime

0 references

Positivity and continuity of the Lyapunov exponent for shifts on $\mathbb T^d$ with arbitrary frequency vector and real analytic potential

0 references

Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential

0 references

Continuity of the Lyapunov exponents for quasiperiodic cocycles

0 references

Continuity, positivity and simplicity of the Lyapunov exponents for quasi-periodic cocycles

0 references

Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation

0 references

Localization for a class of one dimensional quasi-periodic Schrödinger operators

0 references

A new proof of continuity of Lyapunov exponents for a class of $ C^2 $ quasiperiodic Schrödinger cocycles without LDT

0 references

On the multiplicative ergodic theorem for uniquely ergodic systems

0 references

Large coupling asymptotics for the entropy of quasi-periodic operators

0 references

Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions

0 references

Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues

0 references

Large coupling asymptotics for the Lyapunov exponent of quasi-periodic Schrödinger operators with analytic potentials

0 references

Large Deviation Estimates and Hölder Regularity of the Lyapunov Exponents for Quasi-periodic Schrödinger Cocycles

0 references

Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles

0 references

Continuity of the Lyapunov exponent for analytic quasi-periodic cocycles with singularities

0 references

Analytic quasi-perodic cocycles with singularities and the Lyapunov exponent of extended Harper's model

0 references

Anderson localization for the discrete one-dimensional quasi-periodic Schrödinger operator with potential defined by a Gevrey-class function

0 references

Q3979027

0 references

Large coupling asymptotics for the Lyapunov exponent of finitely smooth quasi-periodic Schrödinger operators

0 references

Uniform positivity of Lyapunov exponent for a class of smooth Schrödinger cocycles with weak Liouville frequencies

0 references

Hölder continuity of the spectral measures for one-dimensional Schrödinger operator in exponential regime

0 references

A nonperturbative Eliasson's reducibility theorem

0 references

Regularity and convergence rates for the Lyapunov exponents of linear cocycles

0 references

Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential

0 references

Q3841729

0 references

Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles

0 references

The set of smooth quasi-periodic Schrödinger cocycles with positive Lyapunov exponent is not open

0 references

Uniform positivity and continuity of Lyapunov exponents for a class of $C^2$ quasiperiodic Schrödinger cocycles

0 references

Cantor Spectrum for a Class of $C^2$ Quasiperiodic Schrödinger Operators

0 references

Lyapunov exponents for some quasi-periodic cocycles

0 references

Hölder continuity of the Lyapunov exponent for analytic quasiperiodic Schrödinger cocycle with weak Liouville frequency

0 references

Positive lyapunov exponents for quasiperiodic Szegő cocycles

0 references

Identifiers

arXiv ID

1806.03284

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.1007/S00023-023-01362-6

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6119784