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math.DS2025
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…
math.DS2024
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…