Result: Wegner Estimate for Random Magnetic Laplacian on ℤ
Title:
Wegner Estimate for Random Magnetic Laplacian on ℤ
Authors:
Source:
Annales Henri Poincaré. 13(8):1719-1731
Publisher Information:
Heidelberg: Springer, 2012.
Publication Year:
2012
Physical Description:
print, 12 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Physics, Physique, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Equations aux dérivées partielles, Partial differential equations, Probabilités et statistiques, Probability and statistics, Théorie des probabilités et processus stochastiques, Probability theory and stochastic processes, Processus stochastiques, Stochastic processes, Statistiques, Statistics, Inférence à partir de processus stochastiques; analyse des séries temporelles, Inference from stochastic processes; time series analysis, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Calcul 2 dimensions, Two-dimensional calculations, Champ aléatoire, Random field, Campo aleatorio, Champ magnétique, Magnetic fields, Energie, Energy, Laplacien, Laplacian, Localisation, Localization, Localización, Opérateur Schrödinger, Schrödinger operator, Operador Schrodinger, Physique mathématique, Mathematical physics, Réseau carré, Square lattices, 35J10, 60G60, 62M40
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Institute of Mathematics University of Munich Theresienstr. 39, 80333 Munich, Germany
ISSN:
1424-0637
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.26550077
Database:
PASCAL Archive
Further Information
We consider a two-dimensional magnetic Schrödinger operator on a square lattice with a spatially stationary random magnetic field. We prove Anderson localization near the spectral edges. We use a new approach to establish a Wegner estimate that does not rely on the mono-tonicity of the energy on the random parameters.