Non-stationary Anderson Localization
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909148179857408 |
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| author | Gorodetski, Anton Kleptsyn, Victor |
| author_facet | Gorodetski, Anton Kleptsyn, Victor |
| contents | We consider discrete Schrödinger operators on $\ell^2(\mathbb{Z})$ with bounded random but not necessarily identically distributed values of the potential. We prove spectral localization (with exponentially decaying eigenfunctions) as well as dynamical localization for this model. An important ingredient of the proof is a non-stationary version of the parametric Furstenberg Theorem on random matrix products, which is also of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15970 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-stationary Anderson Localization Gorodetski, Anton Kleptsyn, Victor Spectral Theory Dynamical Systems Probability 47B80, 60H25, 37H99 We consider discrete Schrödinger operators on $\ell^2(\mathbb{Z})$ with bounded random but not necessarily identically distributed values of the potential. We prove spectral localization (with exponentially decaying eigenfunctions) as well as dynamical localization for this model. An important ingredient of the proof is a non-stationary version of the parametric Furstenberg Theorem on random matrix products, which is also of independent interest. |
| title | Non-stationary Anderson Localization |
| topic | Spectral Theory Dynamical Systems Probability 47B80, 60H25, 37H99 |
| url | https://arxiv.org/abs/2403.15970 |