In this article, the non-self dual extended Harper's model with a Liouville frequency is considered. It is shown that the corresponding integrated density of states is 1/2-Hölder continuous. As an application, the homogeneity of the spectrum is proven.
Wenwen JIAN
,
Yunfeng SHI
. SHARP HÖLDER CONTINUITY OF THE INTEGRATED DENSITY OF STATES FOR EXTENDED HARPERS MODEL WITH A LIOUVILLE FREQUENCY[J]. Acta mathematica scientia, Series B, 2019
, 39(5)
: 1240
-1254
.
DOI: 10.1007/s10473-019-0504-z
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