On Julia limiting directions in higher dimensions
DOI10.1007/s40315-021-00381-wzbMath1497.37053arXiv2008.02201OpenAlexW3156417647WikidataQ122573878 ScholiaQ122573878MaRDI QIDQ2129477
Publication date: 22 April 2022
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.02201
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) 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) Higher-dimensional holomorphic and meromorphic dynamics (37F80)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The fast escaping set for quasiregular mappings
- Foundations for an iteration theory of entire quasiregular maps
- Wiman and Arima theorems for quasiregular mappings
- Quasiconformal maps of cylindrical domains
- Conformal geometry and quasiregular mappings
- Periodic quasiregular mappings of finite order
- A complete realization of the orbits of generalized derivatives of quasiregular mappings
- On Julia limiting directions of meromorphic functions
- The Julia set and the fast escaping set of a quasiregular mapping
- Limiting directions of Julia sets of entire solutions to complex differential equations
- On radial distribution of Julia sets of meromorphic functions
- Extension of quasiconformal mappings in three space
- Wandering Domains in the Iteration of Entire Functions
- Quasiregular dynamics on the n-sphere
- Some properties of Fatou and Julia sets of transcendental meromorphic functions
- Periodic domains of quasiregular maps
- Radial distributions of Julia sets of meromorphic functions
- Fast escaping points of entire functions
- Fatou–Julia theory for non-uniformly quasiregular maps
- Conformally Invariant Metrics and Quasiconformal Mappings
- Hollow quasi-Fatou components of quasiregular maps
- Sets of Non-Normality in Iteration Theory
- On the non-existence of unbounded domains of normality of meromorphic functions
This page was built for publication: On Julia limiting directions in higher dimensions