[{"day":"01","type":"journal_article","quality_controlled":0,"date_created":"2018-12-11T11:59:33Z","_id":"2779","date_published":"2012-12-01T00:00:00Z","publisher":"Birkhäuser","volume":13,"date_updated":"2019-04-26T07:22:20Z","publist_id":"4111","intvolume":"        13","doi":"10.1007/s00023-012-0177-9","year":"2012","publication_status":"published","extern":1,"publication":"Annales Henri Poincare","page":"1719 - 1731","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."}],"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>.","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.","ieee":"L. Erdös and D. Hasler, “Wegner estimate for random magnetic Laplacian on ℤ 2,” <i>Annales Henri Poincare</i>, vol. 13, no. 8, pp. 1719–1731, 2012.","apa":"Erdös, L., &#38; Hasler, D. (2012). Wegner estimate for random magnetic Laplacian on ℤ 2. <i>Annales Henri Poincare</i>, <i>13</i>(8), 1719–1731. <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> 13, no. 8 (2012): 1719–31. <a href=\"https://doi.org/10.1007/s00023-012-0177-9\">https://doi.org/10.1007/s00023-012-0177-9</a>."},"author":[{"full_name":"László Erdös","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","first_name":"László"},{"full_name":"Hasler, David G","first_name":"David","last_name":"Hasler"}],"month":"12","status":"public","issue":"8"}]