2 papers
math.DS2025
Local connectivity of Julia sets of some transcendental entire functions with Siegel disks
Fei Yang, Gaofei Zhang, Yanhua Zhang
Based on the weak expansion property of a long iteration of a family of quasi-Blaschke products near the unit circle established recently, we prove that the Julia sets of a number…
math.DS2025
Mating Siegel and Thurston quadratic polynomials
Yuming Fu, Yanhua Zhang
We prove that a quadratic polynomial with a bounded type Siegel disk and a quadratic post-critically finite polynomial are always mateable.