Most of the maps near have empty Fatou sets
From MaRDI portal
Publication:5374184
DOI10.1080/17476933.2017.1300583zbMath1444.37038OpenAlexW2596305672MaRDI QIDQ5374184
Publication date: 9 April 2018
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2017.1300583
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) Meromorphic functions of one complex variable (general theory) (30D30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bifurcations in the space of exponential maps
- The exponential map is not recurrent
- Complex dynamics
- Non-recurrence of \(\exp(z)/z\)
- Hausdorff dimension of a dynamically defined set of exp(z)/z
- Most of the Maps near the Exponential are Hyperbolic
- Structural Instability of exp(z)
- Area and Hausdorff Dimension of Julia Sets of Entire Functions
- On iterates of ez
- Iteration of meromorphic functions
- Structural Instability of Exponential Functions
- Hausdorff dimension of theM-set of λ exp(z)
- The M-set of λ exp(z)/z has infinite area