A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem
From MaRDI portal
Publication:2496924
DOI10.1215/S0012-7094-06-13314-8zbMath1118.37009arXivmath/0403190MaRDI QIDQ2496924
Publication date: 25 July 2006
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0403190
Related Items
On Lyapunov exponents of continuous Schrödinger cocycles over irrational rotations ⋮ On the density of certain spectral points for a class of \(C^2\) quasiperiodic Schrödinger cocycles ⋮ Hybrid quasicrystals, transport and localization in products of minimal sets ⋮ Must the spectrum of a random Schrödinger operator contain an interval? ⋮ Uniform Szegő cocycles over strictly ergodic subshifts ⋮ The spectrum of period-doubling Hamiltonian ⋮ Subshifts with leading sequences, uniformity of cocycles and spectra of Schreier graphs ⋮ Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials ⋮ Spectrum of Lebesgue measure zero for Jacobi matrices of quasicrystals ⋮ On the Lyapunov exponent of certain \(SL (2,\mathbb R)\)-valued cocycles. II ⋮ Boshernitzan’s condition, factor complexity, and an application ⋮ Spectral characteristics of Schrödinger operators generated by product systems ⋮ On sums of semibounded Cantor sets ⋮ Combinatorics of one-dimensional simple Toeplitz subshifts ⋮ Schrödinger operators with dynamically defined potentials ⋮ The Hausdorff dimension of the spectrum of a class of generalized Thue-Morse Hamiltonians ⋮ Lyapunov exponents of continuous Schrödinger cocycles over irrational rotations ⋮ Uniform convergence of Schrödinger cocycles over simple Toeplitz subshift ⋮ Zero measure Cantor spectra for continuum one-dimensional quasicrystals ⋮ Uniform convergence of Schrödinger cocycles over bounded Toeplitz subshift ⋮ The spectrum of skew-shift Schrödinger operators contains intervals ⋮ On the spectrums of ergodic Schrodinger operators with finitely valued potentials ⋮ Hyperbolicity and integral expression of the Lyapunov exponents for linear cocycles ⋮ Continuum Schrödinger operators associated with aperiodic subshifts ⋮ Cantor singular continuous spectrum for operators along interval exchange transformations ⋮ Spectral properties of Schrödinger operators associated with almost minimal substitution systems ⋮ Schrödinger operators generated by locally constant functions on the Fibonacci subshift ⋮ Singular density of states measure for subshift and quasi-periodic Schrödinger operators ⋮ Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon Lemmas ⋮ Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles ⋮ Finite rank Bratteli diagrams: Structure of invariant measures ⋮ Zero measure and singular continuous spectra for quantum graphs ⋮ Zero measure spectrum for multi-frequency Schrödinger operators ⋮ Construction of quasiperiodic Schrödinger operators with Cantor spectrum ⋮ Spectra of discrete two-dimensional periodic Schrödinger operators with small potentials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Substitutions in dynamics, arithmetics and combinatorics
- Singular continuous spectrum on a Cantor set of zero Lebesgue measure for the Fibonacci Hamiltonian
- Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
- Spectral properties of a tight binding Hamiltonian with period doubling potential
- Uniform spectral properties of one-dimensional quasicrystals. IV. Quasi-Sturmian potentials
- A unique ergodicity of minimal symbolic flows with linear block growth
- A condition for minimal interval exchange maps to be uniquely ergodic
- The spectrum of a quasiperiodic Schrödinger operator
- Substitution dynamical systems - spectral analysis
- Power of words and recognizability of fixpoints of a substitution
- Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions
- On the multiplicative ergodic theorem for uniquely ergodic systems
- A characterization of substitutive sequences using return words
- Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
- Uniform Cantor singular continuous spectrum for nonprimitive Schrödinger operators
- Existence of non-uniform cocycles on uniquely ergodic systems
- Uniform spectral properties of one-dimensional quasicrystals. II: The Lyapunov exponent.
- Measure zero spectrum of a class of Schrödinger operators
- Episturmian words and episturmian morphisms
- Spectral properties of one dimensional quasi-crystals
- Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals
- Linearly recurrent circle map subshifts and an application to Schrödinger operators
- Substitution dynamical systems: characterization of linear repetitivity and applications
- Some remarks on discrete aperiodic Schrödinger operators
- Return words in Sturmian and episturmian words
- Schroedinger difference equation with deterministic ergodic potentials
- JACOBI MATRICES WITH RANDOM POTENTIALS TAKING FINITELY MANY VALUES
- Boshernitzan's criterion for unique ergodicity of an interval exchange transformation
- Construction d'un difféomorphisme minimal d'entropie topologique non nulle
- A condition for unique ergodicity of minimal symbolic flows
- A generalization of Sturmian sequences: Combinatorial structure and transcendence
- Uniform ergodic theorems on subshifts over a finite alphabet
- COMBINATORIAL PROPERTIES OF ARNOUX–RAUZY SUBSHIFTS AND APPLICATIONS TO SCHRÖDINGER OPERATORS
- Strict Ergodicity in Zero Dimensional Dynamical Systems and the Kronecker-Weyl Theorem Mod 2
- Episturmian words and some constructions of de Luca and Rauzy
- Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions