Dynamical convergence of polynomials to the exponential
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Publication:4498381
DOI10.1080/10236190008808229zbMath0976.37022OpenAlexW2053433268MaRDI QIDQ4498381
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Publication date: 15 August 2000
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236190008808229
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items (11)
Triviality of fibers for Misiurewicz parameters in the exponential family ⋮ Dynamical approximation and kernels of non-escaping hyperbolic components ⋮ Non-escaping endpoints do not explode ⋮ Dynamical convergence of a certain polynomial family to f_a(z) = z + e^z + a ⋮ Homotopy Hubbard trees for post-singularly finite exponential maps ⋮ GEOMETRIC LIMITS OF MANDELBROT AND JULIA SETS UNDER DEGREE GROWTH ⋮ Escaping endpoints explode ⋮ Classification of escaping exponential maps ⋮ Bifurcations in the space of exponential maps ⋮ Relating singularly perturbed rational maps to families of entire maps ⋮ Parameter rays in the space of exponential maps
Cites Work
- Dynamical properties of some classes of entire functions
- Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
- Repulsive fixpoints of entire functions
- Wandering Domains in the Iteration of Entire Functions
- The Geometry of Julia Sets
- Iteration of exponential functions
- Complex analytic dynamics on the Riemann sphere
- HAIRS FOR THE COMPLEX EXPONENTIAL FAMILY
- Dynamics of exp (z)
- Dynamics of entire functions near the essential singularity
- A finiteness theorem for a dynamical class of entire functions
- On iterates of ez
- LIMITING DYNAMICS FOR THE COMPLEX STANDARD FAMILY
- Misiurewicz Points for Complex Exponentials
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