@inbook{a7d443880f0241b798387e39eaefdba9,

title = "On the quantization of Hall currents in presence of disorder",

abstract = "We review recent results of two of the authors concerning the quantization of Hall currents, in particular a general quantization formula for the difference of edge Hall conductances in semi-infinite samples with and without a confining wall. We then study the case where the Fermi energy is located in a region of localized states and discuss new regularizations. We also sketch the proof of localization for 2D-models with constant magnetic field with random potential located in a halfplane in two different situations: (1) with a zero potential in the other half plane and for energies away from the Landau levels and (2) with a confining potential in the other half plane and on an interval of energies that covers an arbitrary number of Landau levels.",

author = "Combes, {Jean Michel} and Fran{\c c}ois Germinet and Hislop, {Peter D.}",

year = "2006",

doi = "10.1007/3-540-34273-7_22",

language = "English",

isbn = "3540310266",

series = "Lecture Notes in Physics",

pages = "307--323",

editor = "Joachim Asch and Alain Joye",

booktitle = "Mathematical Physics of Quantum Mechanics",

}