دورية أكاديمية
Weyl law for the Anderson Hamiltonian on a two-dimensional manifold
| العنوان: | Weyl law for the Anderson Hamiltonian on a two-dimensional manifold |
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| المؤلفون: | 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 Rennes Angers, 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: 0246-0203. |
| بيانات النشر: | HAL CCSD Institut Henri Poincaré (IHP) |
| سنة النشر: | 2022 |
| المجموعة: | Archive Ouverte de l'Université Rennes (HAL) |
| مصطلحات موضوعية: | Schrödinger operator, Anderson Hamiltonian, Paracontrolled calculus, White noise, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP] |
| الوصف: | International audience ; We define the Anderson Hamiltonian H on a two-dimensional manifold using high order paracontrolled calculus. It is a self-adjoint operator with pure point spectrum. We get lower and upper bounds on its eigenvalues which imply an almost sure Weyl-type law for H. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| العلاقة: | info:eu-repo/semantics/altIdentifier/arxiv/2009.03549; hal-02931734; https://hal.science/hal-02931734Test; https://hal.science/hal-02931734v4/documentTest; https://hal.science/hal-02931734v4/file/Anderson%20Hamiltonian.pdfTest; ARXIV: 2009.03549 |
| DOI: | 10.1214/21-AIHP1216 |
| الإتاحة: | https://doi.org/10.1214/21-AIHP1216Test https://hal.science/hal-02931734Test https://hal.science/hal-02931734v4/documentTest https://hal.science/hal-02931734v4/file/Anderson%20Hamiltonian.pdfTest |
| حقوق: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.E8C74FE8 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1214/21-AIHP1216 |
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