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Mathematics > Dynamical Systems

Title: Hölder continuity of core entropy for non-recurrent quadratic polynomials

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.
Comments: 24 pages
Subjects: Dynamical Systems (math.DS)
MSC classes: 37F10, 37B40, 37F20, 37B10, 37E25
Cite as: arXiv:2403.18109 [math.DS]
  (or arXiv:2403.18109v1 [math.DS] for this version)

Submission history

From: Malte Hassler [view email]
[v1] Tue, 26 Mar 2024 21:19:36 GMT (32kb)

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