دورية أكاديمية
2D random magnetic Laplacian with white noise magnetic field
| العنوان: | 2D random magnetic Laplacian with white noise magnetic field |
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| المؤلفون: | Morin, Léo, Mouzard, Antoine |
| المساهمون: | Université de Rennes (UR), Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-INSTITUT AGRO Agrocampus Ouest, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), ANR-11-LABX-0020,LEBESGUE,Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation(2011) |
| المصدر: | ISSN: 0304-4149. |
| بيانات النشر: | HAL CCSD Elsevier |
| سنة النشر: | 2022 |
| المجموعة: | Archive Ouverte de l'Université Rennes (HAL) |
| مصطلحات موضوعية: | [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP], [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] |
| الوصف: | International audience ; We define the random magnetic Laplacien with spatial white noise as magnetic field on the two-dimensional torus using paracontrolled calculus. It yields a random self-adjoint operator with pure point spectrum and domain a random subspace of nonsmooth functions in L 2. We give sharp bounds on the eigenvalues which imply an almost sure Weyl-type law. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| العلاقة: | info:eu-repo/semantics/altIdentifier/arxiv/2101.05020; hal-03107403; https://hal.science/hal-03107403Test; https://hal.science/hal-03107403v2/documentTest; https://hal.science/hal-03107403v2/file/Magnetic%20laplacien.pdfTest; ARXIV: 2101.05020 |
| DOI: | 10.1016/j.spa.2021.10.004 |
| الإتاحة: | https://doi.org/10.1016/j.spa.2021.10.004Test https://hal.science/hal-03107403Test https://hal.science/hal-03107403v2/documentTest https://hal.science/hal-03107403v2/file/Magnetic%20laplacien.pdfTest |
| حقوق: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.72D1DF10 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.spa.2021.10.004 |
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