On the Hausdorff dimension of Julia sets of meromorphic functions. II

Janina Kotus

Bulletin de la Société Mathématique de France (1995)

  • Volume: 123, Issue: 1, page 33-46
  • ISSN: 0037-9484

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Kotus, Janina. "On the Hausdorff dimension of Julia sets of meromorphic functions. II." Bulletin de la Société Mathématique de France 123.1 (1995): 33-46. <http://eudml.org/doc/87710>.

@article{Kotus1995,
author = {Kotus, Janina},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Julia set; meromorphic function; Hausdorff dimension; Baker domains},
language = {eng},
number = {1},
pages = {33-46},
publisher = {Société mathématique de France},
title = {On the Hausdorff dimension of Julia sets of meromorphic functions. II},
url = {http://eudml.org/doc/87710},
volume = {123},
year = {1995},
}

TY - JOUR
AU - Kotus, Janina
TI - On the Hausdorff dimension of Julia sets of meromorphic functions. II
JO - Bulletin de la Société Mathématique de France
PY - 1995
PB - Société mathématique de France
VL - 123
IS - 1
SP - 33
EP - 46
LA - eng
KW - Julia set; meromorphic function; Hausdorff dimension; Baker domains
UR - http://eudml.org/doc/87710
ER -

References

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  1. [1] BAKER (I.N.). — The domains of normality of an entire function, Ann. Acad. Sci. Fenn. Ser. A, I. Math., t. 1, 1975, p. 277-283. Zbl0329.30019MR53 #5867
  2. [2] BAKER (I.N.), KOTUS (J.) and LÜ (Y.). — Iterates of meromorphic functions I, Ergod. Th. Dynam. Sys., t. 11, 1991, p. 241-248. Zbl0711.30024MR92m:58113
  3. [3] BAKER (I.N.), KOTUS (J.) and LÜ (Y.). — Iterates of meromorphic functions II : Examples of wandering domains, J. London Math. Soc., t. 42, 2, 1990, p. 267-278. Zbl0726.30022MR92m:58114
  4. [4] BAKER (I.N.), KOTUS (J.) and LÜ (Y.). — Iterates of meromorphic functions III : Preperiodic domains, Ergod. Th. Dynam. Sys., t. 11, 1991, p. 603-618. Zbl0774.30023MR92m:58115
  5. [5] BAKER (I.N.), KOTUS (J.) and LÜ (Y.). — Iterates of meromorphic functions IV : Critically finite functions, Results in Mathematics, t. 22, 1992, p. 651-656. Zbl0774.30024MR94c:58166
  6. [6] BROLIN (H.). — Invariant sets under iteration of rational functions, Arkiv für Mathematik, t. 6, 1965, p. 103-144. Zbl0127.03401MR33 #2805
  7. [7] BOAS (R.P.). — Entire Functions. — Academic Press, New York, 1954. Zbl0058.30201MR16,914f
  8. [8] DEVANEY (R.L.) and KEEN (L.). — Dynamics of meromorphic maps with polynomial Schwarzian derivative, Ann. Sci. École Norm. Sup., t. 22, 1989, p. 55-81. Zbl0666.30017MR90e:58071
  9. [9] DUREN (P.L.). — Univalent Functions. — Springer, New York, 1983. Zbl0514.30001MR85j:30034
  10. [10] GARBER (V.). — On the iteration of rational functions, Math. Proc. Camb. Phil. Soc., t. 84, 1978, p. 497-505. Zbl0399.30017MR58 #11343
  11. [11] GRACZYK (J.) and ŚWIATEK (G.). — Critical circle maps near bifurcation, preprint SUNY, Stony Brook, IMS n° 1991/8. 
  12. [12] KOTUS (J.). — On the Hausdorff dimension of Julia sets of meromorphic functions I, Bull. Soc. Math. France, t. 122, 1994, p. 305-331. Zbl0818.30014MR96a:30030
  13. [13] STALLARD (G.). — The Hausdorff dimension of Julia sets of entire functions, Ergod. Th. Dynam. Sys., t. 11, 1991, p. 769-777. Zbl0728.58015MR93e:30060
  14. [14] WITTICH (H.). — Eindeutige Lösungen der Differentialgleichung w′ = R(z, w), Math. Z., t. 74, 1960, p. 278-288. Zbl0091.26102MR22 #11167

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