Analytic Quasi-Perodic Cocycles with Singularities and the Lyapunov Exponent of Extended Harper’s Model

By S. Jitomirskaya, Chris A. Marx. 2010

83 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d9c5e6fb5827a59f3136d56291b050084033336a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. David Damanik
2. Artur Avila
3. S. Jitomirskaya
4. Christian Sadel
5. Yiqian Wang
6. Zhenghe Zhang

In Statistical and Nonlinear Physics

1. David Damanik
2. Artur Avila
3. S. Jitomirskaya
4. A. Amo
5. Nathan Goldman
6. M. Rechtsman
7. Christian Sadel
8. Jiangong You

Citations in the corpus

• Complex one-frequency cocycles (2013, background): “he almost Mathieu cocycles A(x) = E − λcos2πx −1 1 0 as follows from [K], or see an example in the Remark 5 of [Av1] COMPLEX ONE-FREQUENCY COCYCLES 5 This result generalizes earlier results [BJ], [JM] for the case d= 2. Bourgain [B] obtained also joint continuity for non-singular d= 2 cocycles ove”
• Topological photonics (2018, methodology): “The model (69) is commonly known as the off-diagonal Harper model (Ketoja and Satija, 1997; Jitomirskaya and Marx, 2012).”
• Schrödinger operators with dynamically defined potentials (2014, background): “Instead, one may rely on duality arguments given in [4, 17, 139] in order to show that Theorem 6.”