{"issue":"8","date_updated":"2021-01-12T06:59:38Z","quality_controlled":0,"publist_id":"4111","extern":1,"date_published":"2012-12-01T00:00:00Z","title":"Wegner estimate for random magnetic Laplacian on ℤ 2","abstract":[{"lang":"eng","text":"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 monotonicity of the energy on the random parameters."}],"author":[{"full_name":"László Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László","last_name":"Erdös"},{"full_name":"Hasler, David G","first_name":"David","last_name":"Hasler"}],"volume":13,"_id":"2779","type":"journal_article","intvolume":"        13","citation":{"mla":"Erdös, László, and David Hasler. “Wegner Estimate for Random Magnetic Laplacian on ℤ 2.” <i>Annales Henri Poincare</i>, vol. 13, no. 8, Birkhäuser, 2012, pp. 1719–31, doi:<a href=\"https://doi.org/10.1007/s00023-012-0177-9\">10.1007/s00023-012-0177-9</a>.","apa":"Erdös, L., &#38; Hasler, D. (2012). Wegner estimate for random magnetic Laplacian on ℤ 2. <i>Annales Henri Poincare</i>. Birkhäuser. <a href=\"https://doi.org/10.1007/s00023-012-0177-9\">https://doi.org/10.1007/s00023-012-0177-9</a>","short":"L. Erdös, D. Hasler, Annales Henri Poincare 13 (2012) 1719–1731.","chicago":"Erdös, László, and David Hasler. “Wegner Estimate for Random Magnetic Laplacian on ℤ 2.” <i>Annales Henri Poincare</i>. Birkhäuser, 2012. <a href=\"https://doi.org/10.1007/s00023-012-0177-9\">https://doi.org/10.1007/s00023-012-0177-9</a>.","ieee":"L. Erdös and D. Hasler, “Wegner estimate for random magnetic Laplacian on ℤ 2,” <i>Annales Henri Poincare</i>, vol. 13, no. 8. Birkhäuser, pp. 1719–1731, 2012.","ama":"Erdös L, Hasler D. Wegner estimate for random magnetic Laplacian on ℤ 2. <i>Annales Henri Poincare</i>. 2012;13(8):1719-1731. doi:<a href=\"https://doi.org/10.1007/s00023-012-0177-9\">10.1007/s00023-012-0177-9</a>","ista":"Erdös L, Hasler D. 2012. Wegner estimate for random magnetic Laplacian on ℤ 2. Annales Henri Poincare. 13(8), 1719–1731."},"publisher":"Birkhäuser","publication":"Annales Henri Poincare","publication_status":"published","date_created":"2018-12-11T11:59:33Z","page":"1719 - 1731","doi":"10.1007/s00023-012-0177-9","month":"12","status":"public","day":"01","year":"2012"}