A Note on Lyapunov Exponents of Deterministic Strongly Mixing Potentials
| Autor: | Jean Bourgain, Eric Bourgain-Chang |
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| Rok vydání: | 2013 |
| Předmět: |
Scale (ratio)
Lattice (group) FOS: Physical sciences Statistical and Nonlinear Physics Lyapunov exponent Mathematical Physics (math-ph) Coupling (probability) Transfer matrix symbols.namesake Scheme (mathematics) symbols Geometry and Topology Statistical physics Mathematical Physics Mixing (physics) Schrödinger's cat Mathematics |
| DOI: | 10.48550/arxiv.1312.6164 |
| Popis: | In this Note, we consider 1D lattice Schrodinger operators with deterministic strongly mixing potentials with very small coupling. We describe a scheme to establish positiv- ity of the Lyapunov exponent from a statement at some fixed scale. The required input may then be derived from Furstenberg theory, if the underlying dynamics are sufficiently mixing, or verified directly by numerical means. |
| Databáze: | OpenAIRE |
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