2024/03/26 by Malte Hassler, Hassler, Malte, Dierk Schleicher +1
Mathematics · #Mathematical functions and polynomials #Iterative Methods for Nonlinear Equations #Fractional Differential Equations Solutions
paper · pdf · doi:10.48550/arxiv.2403.18109
We prove that core entropy is Hölder continuous as a function of external angles for a large class of quadratic polynomials that are non-recurrent with respect to angle-doubling, in particular all of them that exhibit a finite Hubbard tree. The result follows from a symbolic analysis of the Mandelbrot set and the dynamics of Hubbard trees in terms of kneading sequences which has been established in previous work.