Virág, Bálint and Hart, Eric (2017) Holder Continuity of the Integrated Density of States in the One-Dimensional Anderson Model. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 355 (3). pp. 839-863. ISSN 0010-3616
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Official URL: https://doi.org/10.1007/s00220-017-2927-5
Abstract
We consider the one-dimensional random Schrodinger operator H omega =H0 +sigma V omega where the potential V has i.i.d. entries with bounded support. We prove that the IDS is Holder continuous with exponent 1 - C sigma . This improves upon the work of Bourgain showing that the Holder exponent tends to 1 as sigma tends to 0 in the more specific Anderson-Bernoulli setting.
| Item Type: | Article |
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| Uncontrolled Keywords: | POTENTIALS; BERNOULLI; LOCALIZATION; HARMONIC-ANALYSIS; SCHRODINGER-OPERATORS |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 12 Feb 2018 08:07 |
| Last Modified: | 12 Feb 2018 08:07 |
| URI: | http://real.mtak.hu/id/eprint/74279 |
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