2 citations · 6 across the 9 of their papers we have counts for
9 papers
Atoms of Compacta on Closed Surfaces
Jun Luo, Joerg Thuswaldner, Xiao-Ting Yao +1
For any compact set lying on a closed surface we introduce a closed equivalence relation , called the {\em Schönflies equivalence} on . We show that ever…
Difference independence of the Euler gamma function
Qiongyan Wang, Xiao Yao
In this paper, we established a sharp version of the difference analogue of the celebrated Hölder's theorem concerning the differential independence of the Euler gamma function …
To Define the Core Entropy for All Polynomials Having a Connected Julia Set
Jun Luo, Bo Tan, Yi Yang +1
For all polynomials with that have a connected filled Julia set , we introduce a new quantity , such that $h_{\rm GCE}\left(f^n\right)=n\c…
A model for planar compacta and rational Julia sets
Jun Luo, Yi Yang, Xiaoting Yao
A Peano compactum is a compact metric space having locally connected components such that at most finitely many of them are of diameter greater than any fixed number C>0. Given a c…
On continuous extension of conformal homeomorphisms of infinitely connected planar domains
Jun Luo, Xiao-Ting Yao
We consider conformal homeomorphisms of generalized Jordan domains onto planar domains %, possibly {\bf infinitely connected}, that satisfy both of the next two conditi…
On Lambda Function and a Quantification of Torhorst Theorem
Li Feng, Jun Luo, Xiao-Ting Yao
To any compact we associate a map -- the lambda function of -- such that a planar continuu…
Peano Model for Planar Compacta and a Lemma by Beardon
Jun Luo, Yi Yang, Xiao-Ting Yao
It is known that, among all the monotone decompositions of a planar compact set K with Peano hyperspaces, there exists a unique one that is finer than all the others. We call it th…
Lyapunov exponents and related concepts for entire functions
Walter Bergweiler, Xiao Yao, Jianhua Zheng
Let be an entire function and denote by be the spherical derivative of and by the -th iterate of . For an open set intersecting the Julia set ,…
"Mixed spectral nature" of Thue--Morse Hamiltonian
Qinghui Liu, Yanhui Qu, Xiao Yao
We find three dense subsets and of the spectrum of the Thue-Morse Hamiltonian, such that each energy in is extended, each energy in is pseudo-…