2 citations · 3 across the 6 of their papers we have counts for
6 papers
Rationality of meromorphic functions between real algebraic sets in the plane
Tuen-Wai Ng, Xiao Yao
We study one variable meromorphic functions mapping a planar real algebraic set to another real algebraic set in the complex plane. By using the theory of Schwarz reflection fu…
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…
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…
A new geometric characterization of the Julia set
Xiao Yao, Daochun Sun, Zuxing Xuan
This article concerns a new geometric characterization of the Julia set. By using Ahlfors-Shimizu's characteristic, we establish some growth results which indicates the characteriz…
Multifractal analysis of dimension spectrum and the set of irregular points in non-uniformly hyperbolic systems
Ma Guan-Zhong, Yao Xiao
We study the multifractal analysis of dimension spectrum for almost additive potential in a class of one dimensional non-uniformly hyperbolic dynamic systems and prove that the irr…
Higher dimensional multifractal analysis of non-uniformly hyperbolic systems
Ma Guan-Zhong, Yao Xiao
Johansson, Jordan, Öberg and Pollicott ( Israel J. Math.(2010)) has studied the multifractal analysis of a class of one-dimensional non-uniformly hyperbolic systems, by introducing…