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@article{faucris.238011373,
abstract = {For one-dimensional random Schrodinger operators, the integrated density of states is known to be given in terms of the (averaged) rotation number of the Prufer phase dynamics. This paper develops a controlled perturbation theory for the rotation number around an energy at which all the transfer matrices commute and are hyperbolic. Such a hyperbolic critical energy appears in random hopping models. The main result is a Holder continuity of the rotation number at the critical energy that implies the existence of a pseudo-gap. The proof uses renewal theory. The result is illustrated by numerics.},
author = {Dorsch, Florian and Schulz-Baldes, Hermann},
doi = {10.1088/1751-8121/ab5e8c},
faupublication = {yes},
journal = {Journal of Physics A: Mathematical and Theoretical},
note = {CRIS-Team WoS Importer:2020-05-05},
peerreviewed = {Yes},
title = {{Pseudo}-gaps for random hopping models},
volume = {53},
year = {2020}
}