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

Published 26 Jul 2021 in math.DS | (2107.11962v2)

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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Authors (2)

  1. Genadi Levin 
  2. Feliks Przytycki 

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