Yi Yang

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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 $f$ with $deg (f) \geq 2$ that have a connected filled Julia set $K$ , we introduce a new quantity $h_{GCE} (f)$ , such that $h_{\rm GCE}\left(f^n\right)=n\c…

math.DS2024

An Isodiametric Problem with Additional Constraints in Euclidean space R^3

Yi Yang

Let $C_{I^} ¸$ be a circular cone in Euclidean space $R^{3}$ ,which apex is the origin and apex angle of the cone is $I^¸ \in (I ¨ /3, I ¨ )$ . Let $M_{I^} ¸$ be the class of 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…