Principal Eigenvalue and Landscape Function of the Anderson Model on a Large Box
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908276272136192 |
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| author | Sánchez-Mendoza, Daniel |
| author_facet | Sánchez-Mendoza, Daniel |
| contents | We state a precise formulation of a conjecture concerning the product of the principal eigenvalue and the sup-norm of the landscape function of the Anderson model restricted to a large box. We first provide the asymptotic of the principal eigenvalue as the size of the box grows and then use it to give a partial proof of the conjecture. We give a complete proof for the one dimensional case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_01059 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Principal Eigenvalue and Landscape Function of the Anderson Model on a Large Box Sánchez-Mendoza, Daniel Mathematical Physics Spectral Theory We state a precise formulation of a conjecture concerning the product of the principal eigenvalue and the sup-norm of the landscape function of the Anderson model restricted to a large box. We first provide the asymptotic of the principal eigenvalue as the size of the box grows and then use it to give a partial proof of the conjecture. We give a complete proof for the one dimensional case. |
| title | Principal Eigenvalue and Landscape Function of the Anderson Model on a Large Box |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2203.01059 |