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math.SP2021★ 2 cited
The spectrum of period-doubling Hamiltonian
Qinghui Liu, Yanhui Qu, Xiao Yao
In this paper, we show the following: the Hausdorff dimension of the spectrum of period-doubling Hamiltonian is bigger than , where is the Golden number; there e…
math.DS2021
Multifractal analysis in non-uniformly hyperbolic interval maps
Guan-Zhong Ma, Wen-Qiang Shen, Xiao Yao
In this paper, we study the Hausdorff dimension of the generalized intrinsic level set with respect to the given ergodic meausre in a class of non-uniformly hyperbolic interval map…