No hyperbolic sets in J for infinitely renormalizable quadratic polynomials

Genadi Levin*, Feliks Przytycki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Let f be an infinitely renormalizable quadratic polynomial and J be the intersection of forward orbits of “small” Julia sets of its simple renormalizations. We prove that J contains no hyperbolic sets.

Original languageAmerican English
Pages (from-to)635-656
Number of pages22
JournalIsrael Journal of Mathematics
Volume251
Issue number2
DOIs
StatePublished - Dec 2022

Bibliographical note

Publisher Copyright:
© 2022, The Hebrew University of Jerusalem.

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