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Sharp Holder continuity of the Lyapunov Exponent of finitely differentiable quasi-periodic cocycles

发布时间:2019-04-11 作者: 浏览次数:
Speaker: 蔡傲 DateTime: 2019年4月15日(周一)下午3:00-4:00
Brief Introduction to Speaker:

蔡傲 博士 南开大学 陈省身数学研究所

Place: 三号楼3116教室
Abstract:We show that if the base frequency is Diophantine, then the Lyapunov exponent of a C^k quasi-periodic SL(2,R) cocycle is 1/2 Holder continuous in the almost reducible regime. As a consequence, we show if the frequency is Diophantine and the potential is small, then the integrated density of states of the corresponding quasi-periodic Schrodinger operator is 1/2 Holder continuous.