We gratefully acknowledge support from
the Simons Foundation and member institutions.
Full-text links:

Download:

Current browse context:

math.DS
< prev | next >
new | recent | 2107

Change to browse by:

math

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo

Mathematics > Dynamical Systems

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

Authors: Genadi Levin, Feliks Przytycki
(Submitted on 26 Jul 2021 (v1), last revised 20 Jun 2022 (this version, v2))
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.
Comments: Final version: extended, a corollary added, and the title changed. To appear
Subjects: Dynamical Systems (math.DS)
Cite as: arXiv:2107.11962 [math.DS]
  (or arXiv:2107.11962v2 [math.DS] for this version)

Submission history

From: Genadi Levin [view email]
[v1] Mon, 26 Jul 2021 05:16:50 GMT (40kb,D)
[v2] Mon, 20 Jun 2022 19:08:22 GMT (25kb)
Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

Link back to: arXiv, form interface, contact.