Density of positive Lyapunov exponents for symplectic cocycles
DOI10.4171/JEMS/899zbMath1435.37076arXiv1506.05403OpenAlexW2963392069WikidataQ127663800 ScholiaQ127663800MaRDI QIDQ2327710
Publication date: 15 October 2019
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.05403
Lyapunov exponentsHermitian symmetric spacesShilov boundaryKotani theorySiegel upper half-planemonotonic cocyclesSchrödinger operator on stripssymplectic cocycles
Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General theory of random and stochastic dynamical systems (37H05)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positive Lyapunov exponents for higher dimensional quasiperiodic cocycles
- Complex one-frequency cocycles
- Efficient computation of the Zassenhaus formula
- Kotani theory for one dimensional stochastic Jacobi matrices
- Generic singular spectrum for ergodic Schrödinger operators
- On the spectrum and Lyapunov exponent of limit periodic Schrödinger operators
- Monotonic cocycles
- Global theory of one-frequency Schrödinger operators
- Density of positive Lyapunov exponents for quasiperiodic SL\((2, \mathbb R)\)-cocycles in arbitrary dimension
- Geometry of Weyl theory for Jacobi matrices with matrix entries
- Stochastic Schrödinger operators and Jacobi matrices on the strip
- Compressions and contractions of Hermitian symmetric spaces
- Rotation number for non-autonomous linear Hamiltonian systems. I: Basic properties
- A formula with some applications to the theory of Lyapunov exponents
- Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture
- Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents
- Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles
- Hermitian symplectic geometry and extension theory
- Density of positive Lyapunov exponents for 𝑆𝐿(2,ℝ)-cocycles
- A Herman–Avila–Bochi formula for higher-dimensional pseudo-unitary and Hermitian-symplectic cocycles
- JACOBI MATRICES WITH RANDOM POTENTIALS TAKING FINITELY MANY VALUES
- Frontière de furstenberg, propriétés de contraction et théorèmes de convergence
- Lyapunov indices of a product of random matrices
- A version of Gordon’s theorem for multi-dimensional Schrödinger operators
- On Matrix-Valued Herglotz Functions
- A Thouless formula and Aubry duality for long-range Schrödinger skew-products
- Lyapunov exponents with multiplicity 1 for deterministic products of matrices
- Products of Random Matrices
- Noncommuting Random Products
- The complex Lagrangian Grassmannian
This page was built for publication: Density of positive Lyapunov exponents for symplectic cocycles