Parabolic implosion and Julia-Lavaurs sets in the exponential family
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Publication:857845
DOI10.1007/s00605-006-0426-4zbMath1104.37036OpenAlexW2040575754WikidataQ120906412 ScholiaQ120906412MaRDI QIDQ857845
Michel Zinsmeister, Mariusz Urbański
Publication date: 5 January 2007
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-006-0426-4
exponential functionsHausdorff dimensionholomorphic dynamicsparabolic implosionconformal mesureshyperbolic dimensionJulia-Lavaurs sets
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Cites Work
- The finer geometry and dynamics of the hyperbolic exponential family
- The parabolic map \(f_{1/e}(z)=\frac{1}{e}e^z\).
- Geometric rigidity of transcendental meromorphic functions
- Geometry and ergodic theory on non-recurrent elliptic functions
- Geometry and ergodic theory of non-hyperbolic exponential maps
- Geometric thermodynamic formalism and real analyticity for meromorphic functions of finite order
- Real analyticity of Hausdorff dimension of finer Julia sets of exponential family
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