Wegner estimate for random magnetic Laplacian on ℤ 2

L. Erdös, D. Hasler, Annales Henri Poincare 13 (2012) 1719–1731.

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Abstract
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.
Publishing Year
Date Published
2012-12-01
Journal Title
Annales Henri Poincare
Volume
13
Issue
8
Page
1719 - 1731
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Erdös L, Hasler D. Wegner estimate for random magnetic Laplacian on ℤ 2. Annales Henri Poincare. 2012;13(8):1719-1731. doi:10.1007/s00023-012-0177-9
Erdös, L., & Hasler, D. (2012). Wegner estimate for random magnetic Laplacian on ℤ 2. Annales Henri Poincare, 13(8), 1719–1731. https://doi.org/10.1007/s00023-012-0177-9
Erdös, László, and David Hasler. “Wegner Estimate for Random Magnetic Laplacian on ℤ 2.” Annales Henri Poincare 13, no. 8 (2012): 1719–31. https://doi.org/10.1007/s00023-012-0177-9.
L. Erdös and D. Hasler, “Wegner estimate for random magnetic Laplacian on ℤ 2,” Annales Henri Poincare, vol. 13, no. 8, pp. 1719–1731, 2012.
Erdös L, Hasler D. 2012. Wegner estimate for random magnetic Laplacian on ℤ 2. Annales Henri Poincare. 13(8), 1719–1731.
Erdös, László, and David Hasler. “Wegner Estimate for Random Magnetic Laplacian on ℤ 2.” Annales Henri Poincare, vol. 13, no. 8, Birkhäuser, 2012, pp. 1719–31, doi:10.1007/s00023-012-0177-9.

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