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arXiv · 2107.11962

No hyperbolic sets in J_\infty for infinitely renormalizable quadratic polynomials

Genadi Levin·Feliks Przytycki
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Abstract

Let f be an infinitely-renormalizable quadratic polynomial and J_\infty be the intersection of forward orbits of "small" Julia sets of simple renormalizations of f. We prove that J_\infty contains no hyperbolic sets.

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Genadi Levin, Feliks Przytycki. 2021-07-26. No hyperbolic sets in J_\infty for infinitely renormalizable quadratic polynomials. https://arxiv.org/abs/2107.11962

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