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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.05373 |
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Table of Contents:
- We consider the discrete Schrödinger operators with potentials whose values are read along the orbits of a shift of finite type. We study a certain subset of the collection of energies at which the Lyapunov exponent is zero and prove monotonicity of this set with respect to the shift embeddings. Then we introduce a certain function ${\mathcal J}(A,μ)$ determined by the position of these zeros and prove monotonicity of ${\mathcal J}(A,μ)$ with respect to embeddings.