Sharp Bounds for the Integrated Density of States of a Strongly Disordered 1D Anderson-Bernoulli Model
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arXiv
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| Format: | Preprint |
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2020
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| _version_ | 1866913748573224960 |
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| author | Sánchez-Mendoza, Daniel |
| author_facet | Sánchez-Mendoza, Daniel |
| contents | In this article we give upper and lower bounds for the integrated density of states (IDS) of the 1D discrete Anderson-Bernoulli model when the disorder is strong enough to separate the two spectral bands. These bounds are uniform on the disorder and hold over the whole spectrum. They show the existence of a sequence of energies in which the value of the IDS can be given explicitly and does not depend on the disorder parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_04756 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Sharp Bounds for the Integrated Density of States of a Strongly Disordered 1D Anderson-Bernoulli Model Sánchez-Mendoza, Daniel Mathematical Physics Spectral Theory In this article we give upper and lower bounds for the integrated density of states (IDS) of the 1D discrete Anderson-Bernoulli model when the disorder is strong enough to separate the two spectral bands. These bounds are uniform on the disorder and hold over the whole spectrum. They show the existence of a sequence of energies in which the value of the IDS can be given explicitly and does not depend on the disorder parameter. |
| title | Sharp Bounds for the Integrated Density of States of a Strongly Disordered 1D Anderson-Bernoulli Model |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2011.04756 |