References & Citations
Mathematics > Dynamical Systems
Title: Hölder continuity of core entropy for non-recurrent quadratic polynomials
(Submitted on 26 Mar 2024)
Abstract: We prove that core entropy is H\"older continuous as a function of external angles for a large class of quadratic polynomials that are non-recurrent with respect to angle-doubling. 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.
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