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Multiscale analysis for ergodic schrödinger operators and positivity of Lyapunov exponents

✍ Scribed by Helge Krüger

Book ID
113091208
Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
686 KB
Volume
115
Category
Article
ISSN
0021-7670

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📜 SIMILAR VOLUMES

The Lyapunov Exponents for Schrödinger O
The Lyapunov Exponents for Schrödinger Operators with Slowly Oscillating Potentials
✍ Barry Simon; Yunfeng Zhu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 521 KB

By studying the integrated density of states, we prove the existence of Lyapunov exponents and the Thouless formula for the Schro dinger operator &d 2 Âdx 2 +cos x & with 0<&<1 on L 2 [0, ). This yields an explicit formula for these Lyapunov exponents. By applying rank one perturbation theory, we al