No hyperbolic sets in \(J_{\infty}\) for infinitely renormalizable quadratic polynomials
From MaRDI portal
Publication:2677817
DOI10.1007/s11856-022-2443-yOpenAlexW4313334671MaRDI QIDQ2677817
Feliks Przytycki, Genadi Levin
Publication date: 6 January 2023
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.11962
Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Renormalization of holomorphic dynamical systems (37F25)
Cites Work
- The Lyapunov exponent of holomorphic maps
- Typical orbits of quadratic polynomials with a neutral fixed point: Brjuno type
- Repelling periodic points and landing of rays for post-singularly bounded exponential maps
- Rigidity and non-local connectivity of Julia sets of some quadratic polynomials
- Multipliers of periodic orbits of quadratic polynomials and the parameter plane
- Local connectivity of the Julia set of real polynomials
- Complex dynamics
- Dynamics of quadratic polynomials: complex bounds for real maps
- Infinitely renormalizable quadratic polynomials, with non-locally connected Julia set
- Rigidity for real polynomials
- Density of hyperbolicity in dimension one
- A priori bounds for some infinitely renormalizable quadratics: II. Decorations
- A priori bounds for some infinitely renormalizable quadratics: III. Molecules
- On the dynamics of polynomial-like mappings
- On a theorem of Fatou
- Ordered orbits of the shift, square roots, and the devil's staircase
- Rays to renormalizations
- One hundred years of complex dynamics
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: No hyperbolic sets in \(J_{\infty}\) for infinitely renormalizable quadratic polynomials
