The set of smooth quasi-periodic Schrödinger cocycles with positive Lyapunov exponent is not open (Q1673720)

scientific article; zbMATH DE number 6936010

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English	The set of smooth quasi-periodic Schrödinger cocycles with positive Lyapunov exponent is not open	scientific article; zbMATH DE number 6936010

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instance of

scholarly article

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title

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

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Communications in Mathematical Physics

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publication date

13 September 2018

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zbMATH Keywords

quasi-periodic Schrödinger cocycle

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Lyapunov exponent

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00220-018-3223-8

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cites work

Density of positive Lyapunov exponents for 𝑆𝐿(2,ℝ)-cocycles

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The Ten Martini problem

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Monotonic cocycles

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Extremal Lyapunov exponents: an invariance principle and applications

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The dynamics of the Hénon map

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Explicit examples of arbitrarily large analytic ergodic potentials with zero Lyapunov exponent

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The dynamics of a class of quasi-periodic Schrödinger cocycles

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Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials

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Genericity of zero Lyapunov exponents

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The Lyapunov exponents of generic volume-preserving and symplectic maps

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Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices. (Genericity of non-zero Lyapunov exponents for deterministic products of matrices)

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

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On nonperturbative localization with quasi-periodic potential.

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Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential

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Anderson localization for Schrödinger operators on \(\mathbb{Z}\) with strongly mixing potentials.

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Continuity of the Lyapunov exponents for quasiperiodic cocycles

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Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum

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On the multiplicative ergodic theorem for uniquely ergodic systems

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Noncommuting Random Products

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JACOBI MATRICES WITH RANDOM POTENTIALS TAKING FINITELY MANY VALUES

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Q4332751

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Lyapunov exponents of linear cocycles over Markov shifts

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Q3841729

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Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents

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Positive Lyapunov exponents for quasiperiodic Szegő cocycles

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Identifiers

zbMATH Open document ID

1395.37036

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Mathematics Subject Classification ID

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10.1007/S00220-018-3223-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:1673720