Hausdorff measure of the escaping parameter without endpoints is zero for exponential family
DOI10.11650/tjm/180304zbMath1410.37047OpenAlexW2790708598WikidataQ115520539 ScholiaQ115520539MaRDI QIDQ1722046
Publication date: 14 February 2019
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.twjm/1521792083
exponential functionJulia setHausdorff measuregauge functionexternal rayescaping setDevaney hairparameter ray
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)
Cites Work
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- Hausdorff measure of hairs without endpoints in the exponential family
- Bifurcations in the space of exponential maps
- Escape rate and Hausdorff measure for entire functions
- On limit directions of Julia sets of entire solutions of linear differential equations
- Julia sets and bifurcation diagrams for exponential maps
- HOW POINTS ESCAPE TO INFINITY UNDER EXPONENTIAL MAPS
- Hausdorff measure of Julia sets in the exponential family
- Parameter rays in the space of exponential maps
- Dynamics of exp (z)
- Area and Hausdorff Dimension of Julia Sets of Entire Functions
- Hausdorff dimension of the hairs without endpoints for λ exp z
- Iteration of meromorphic functions
- Hausdorff dimension of theM-set of λ exp(z)
- ESCAPING POINTS OF EXPONENTIAL MAPS
- Hausdorff measure of escaping and Julia sets for bounded-type functions of finite order
- The M-set of λ exp(z)/z has infinite area
- Classification of escaping exponential maps
- Hausdorff dimension of exponential parameter rays and their endpoints
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