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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.18628 |
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| _version_ | 1866910849606615040 |
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| author | Chiem, Nicholas |
| author_facet | Chiem, Nicholas |
| contents | We consider an Arnold's Cat Map generated $C^1$ bounded potential with the directional derivative in the unstable direction bounded away from zero. We show that the Lyapunov exponent for the associated Shrödinger Operator is uniformly positive for all energies provided the coupling is sufficiently large. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18628 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniform positivity of the Lyapunov exponent for $C^1$ monotone potentials generated by the cat map Chiem, Nicholas Dynamical Systems We consider an Arnold's Cat Map generated $C^1$ bounded potential with the directional derivative in the unstable direction bounded away from zero. We show that the Lyapunov exponent for the associated Shrödinger Operator is uniformly positive for all energies provided the coupling is sufficiently large. |
| title | Uniform positivity of the Lyapunov exponent for $C^1$ monotone potentials generated by the cat map |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2502.18628 |