TY - JOUR
T1 - Hölder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrödinger Operators
AU - Sun , Mei
AU - Wang , Xueyin
JO - Analysis in Theory and Applications
VL - 1
SP - 33
EP - 51
PY - 2020
DA - 2020/05
SN - 36
DO - http://doi.org/10.4208/ata.OA-0019
UR - https://global-sci.org/intro/article_detail/ata/16912.html
KW - Schrödinger operator, quasi-periodic, almost reducibility, finitely differentiable.
AB - <p style="text-align: justify;">In the present paper, we prove the $\frac{1}{2}$-Hölder continuity of spectral measures for the $C^{k}$ Schrödinger operators. This result is based on the quantitative almost reducibility and an estimate for the growth of the Schrödinger cocycles in [5].</p>