Hölder Continuity of the Integrated Density of States in the One-Dimensional Anderson Model
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DOI: 10.1007/s00220-017-2927-5
Abstract: AbstractWe consider the one-dimensional random Schrödinger operator $$H_{\omega} = H_0 + \sigma V_{\omega},$$Hω=H0+σVω,where the potential V has i.i.d. entries with bounded support. We prove that the IDS is Hölder continuous with exponent $${1-c \sigma}$$1-cσ. This… read more here.
Keywords: lder continuity; density states; states one; integrated density ... See more keywords