On the packing dimension of the Julia set and the escaping set of an entire function
DOI10.1007/s11856-012-0033-0zbMath1291.37077arXiv1101.3479OpenAlexW3105358555WikidataQ122445899 ScholiaQ122445899MaRDI QIDQ1932669
Publication date: 21 January 2013
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.3479
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) 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) Hausdorff and packing measures (28A78)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Escaping points of meromorphic functions with a finite number of poles
- A new proof of the Ahlfors five islands theorem
- On the singularities of the inverse to a meromorphic function of finite order
- Cauchy transforms of point masses: the logarithmic derivative of polynomials
- On multiply-connected Fatou components in iteration of meromorphic functions
- An addition to the $\cos \pi \rho $-theorem for subharmonic and entire functions of zero lower order
- Multiply connected wandering domains of entire functions
- Slow escaping points of meromorphic functions
- Dynamics of meromorphic functions with direct or logarithmic singularities
- Hausdorff dimension of hairs and ends for entire maps of finite order
- Hausdorff dimensions of escaping sets of transcendental entire functions
- On the Hausdorff dimension of the Julia set of a regularly growing entire function
- Hyperbolic Dimension of Julia Sets of Meromorphic Maps with Logarithmic Tracts
- Hyperbolic dimension and radial Julia sets of transcendental functions
- The growth rate of an entire function and the Hausdorff dimension of its Julia set
- Area and Hausdorff Dimension of Julia Sets of Entire Functions
- The Infimum of Small Subharmonic Functions
- Iteration of meromorphic functions
- Frontiers in complex dynamics
- Julia Sets of Polynomials are Uniformly Perfect
- Fast escaping points of entire functions
- On the Multiple Points of Certain Meromorphic Functions
- Dimensions of Julia sets of meromorphic functions with finitely many poles
- DIMENSIONS OF JULIA SETS OF MEROMORPHIC FUNCTIONS
- Inequalities for the Logarithmic Derivatives of a Polynomial
This page was built for publication: On the packing dimension of the Julia set and the escaping set of an entire function