@Article{ATA-36-33, author = {Sun , Mei and Wang , Xueyin}, title = {Hölder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrödinger Operators}, journal = {Analysis in Theory and Applications}, year = {2020}, volume = {36}, number = {1}, pages = {33--51}, abstract = {

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].

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-0019}, url = {http://global-sci.org/intro/article_detail/ata/16912.html} }