A landing theorem for periodic rays of exponential maps
From MaRDI portal
Publication:5469228
DOI10.1090/S0002-9939-06-08287-6zbMath1099.37040arXivmath/0307371MaRDI QIDQ5469228
Publication date: 17 May 2006
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0307371
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items (16)
About Rays, Dreadlocks and Periodic Points in Transcendental Dynamics ⋮ Triviality of fibers for Misiurewicz parameters in the exponential family ⋮ A new type of non-landing exponential rays ⋮ A landing theorem for periodic dynamic rays for transcendental entire maps with bounded post-singular set ⋮ Singular values and bounded Siegel disks ⋮ A bound on the number of rationally invisible repelling orbits ⋮ A landing theorem for entire functions with bounded post-singular sets ⋮ Siegel disks and periodic rays of entire functions ⋮ Repelling periodic points and landing of rays for post-singularly bounded exponential maps ⋮ A converse landing theorem in parameter spaces ⋮ On the accumulation sets of exponential rays ⋮ Dynamic rays of bounded-type transcendental self-maps of the punctured plane ⋮ Escaping endpoints explode ⋮ Classification of escaping exponential maps ⋮ Bifurcations in the space of exponential maps ⋮ Parameter rays in the space of exponential maps
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamical properties of some classes of entire functions
- Bifurcations in the space of exponential maps
- On the dynamics of rational maps
- Iteration of exponential functions
- HAIRS FOR THE COMPLEX EXPONENTIAL FAMILY
- Parameter rays in the space of exponential maps
- ESCAPING POINTS OF EXPONENTIAL MAPS
- Classification of escaping exponential maps
- Topological dynamics of exponential maps on their escaping sets
- Accessible points in the Julia sets of stable exponentials.
This page was built for publication: A landing theorem for periodic rays of exponential maps
