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