62 citations · 139 across the 24 of their papers we have counts for
5 papers · 1 filter
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…
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…
A Core Decomposition of Compact Sets in the Plane
Benoit Loridant, Jun Luo, Yi Yang
A Peano continuum means a locally connected continuum. A compact metric space is called a \emph{Peano compactum} if all its components are Peano continua and if for any constant $C…
Rauzy fractals with countable fundamental group
Timo Jolivet, Benoît Loridant, Jun Luo
We prove that every free group of finite rank can be realized as the fundamental group of a planar Rauzy fractal associated with a 4-letter unimodular cubic Pisot substitution. Thi…