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

Janina Kotus

Bulletin de la Société Mathématique de France (1994)

  • Volume: 122, Issue: 3, page 305-331
  • ISSN: 0037-9484

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Kotus, Janina. "On the Hausdorff dimension of Julia sets of meromorphic functions. I." Bulletin de la Société Mathématique de France 122.3 (1994): 305-331. <http://eudml.org/doc/87692>.

@article{Kotus1994,
author = {Kotus, Janina},
journal = {Bulletin de la Société Mathématique de France},
keywords = {iteration; Julia set; Hausdorff dimension; meromorphic functions},
language = {eng},
number = {3},
pages = {305-331},
publisher = {Société mathématique de France},
title = {On the Hausdorff dimension of Julia sets of meromorphic functions. I},
url = {http://eudml.org/doc/87692},
volume = {122},
year = {1994},
}

TY - JOUR
AU - Kotus, Janina
TI - On the Hausdorff dimension of Julia sets of meromorphic functions. I
JO - Bulletin de la Société Mathématique de France
PY - 1994
PB - Société mathématique de France
VL - 122
IS - 3
SP - 305
EP - 331
LA - eng
KW - iteration; Julia set; Hausdorff dimension; meromorphic functions
UR - http://eudml.org/doc/87692
ER -

References

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  1. [1] BAKER (I.N.), KOTUS (J.) and LÜ (Y.). — Iterates of meromorphic functions (I), Ergodic Theory Dynamical Systems, t. 11, 1991, p. 241-248. Zbl0711.30024MR92m:58113
  2. [2] BAKER (I.N.), KOTUS (J.) and LÜ (Y.). — Iterates of meromorphic functions (II) : Examples of wandering domains., J. London Math. Soc., t. 2 (42), 1990, p. 267-278. Zbl0726.30022MR92m:58114
  3. [3] BAKER (I.N.), KOTUS (J.) and LÜ (Y.). — Iterates of meromorphic functions (III) : Preperiodic domains., Ergodic Theory Dynamical Systems, t. 11, 1991, p. 603-618. Zbl0774.30023MR92m:58115
  4. [4] 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
  5. [5] DUREN (P.-L.). — Univalent Functions. — Springer, New York, 1983. Zbl0514.30001MR85j:30034
  6. [6] KOTUS (J.). — On the Hausdorff dimension of Julia sets of meromorphic functions (II), Preprint, 1992. 
  7. [7] Mc MULLEN (C.). — Area and Hausdorff dimension of Julia sets of entire functions, Trans. Amer. Math. Soc., t. 300, 1987, p. 329-342. Zbl0618.30027MR88a:30057

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