The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class

We show that for each there exists a meromorphic function f such that the inverse function of f has three singularities and the Julia set of f has Hausdorff dimension d.

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Published in:
Mathematische Zeitschrift
Publisher:
Springer Science and Business Media LLC
Springer
Publishing place:
Berlin
Heidelberg
Berlin [u.a.]
Vol.:
302
No.:
4
ISSN:
0025-5874
ISSN:
1432-1823
ISSN:
0025-5874
Pages:
2193 - 2205
Date Issued:
2022
URN:
urn:nbn:de:gbv:8:3-2024-00378-4
DOI:
10.1007/s00209-022-03142-0
Language:
English
Type of Resource:
Text
Publisher:
Springer Science and Business Media LLC
Keywords:
Julia set; Fatou set; Meromorphic function; Hausdorff dimension; Speiser class; Eremenko–Lyubich class
Classification:
Published version
DDC subject of DNB:
510 Mathematics
Hosting institution:
Faculties, Faculty of Mathematics and Natural Sciences

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