Hölder Continuity of the Rotation Number for Quasi-Periodic Co-Cycles in $${SL(2, \mathbb R)}$$

Author:

Hadj Amor Sana

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference13 articles.

1. Avila A., Jitomirskaya S.: Almost localization and almost reducibility. arXiv: 0805. 1761v1 [math.DS], 2008, to appear in J. Eur. Math. Soc.

2. Bourgain J.: Hölder regularity of integrated density of states for the almost Mathieu operator in a perturbative regime. Lett. Math. Phys. 51(2), 83–118 (2000)

3. Delyon F., Souillard B.: The rotation number for finite difference operators and its properties. Commu. Math. Phys. 89(3), 415–426 (1983)

4. Dinaburg E.I., Sinaĭ Ja.G.: The one-dimensional Schrödinger equation with quasiperiodic potential. Funk. Anal. Prilož. 9-4, 8–21 (1975)

5. Eliasson L.H.: Almost reducibility of linear quasi-periodic systems. Proc. Sympos. Pure Math. 69, 679–705 (2001)

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