# Area and Hausdorff dimension of the set of accessible points of the Julia sets of λe^z and λ sin(z)

Fundamenta Mathematicae (1999)

- Volume: 159, Issue: 3, page 269-287
- ISSN: 0016-2736

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topKarpińska, Bogusława. "Area and Hausdorff dimension of the set of accessible points of the Julia sets of λe^z and λ sin(z)." Fundamenta Mathematicae 159.3 (1999): 269-287. <http://eudml.org/doc/212334>.

@article{Karpińska1999,

abstract = {},

author = {Karpińska, Bogusława},

journal = {Fundamenta Mathematicae},

keywords = {positive Lebesgue measure; attractor; fixed points; repellor; basin of attraction; Julia set; accessible points; Hausdorff dimension},

language = {eng},

number = {3},

pages = {269-287},

title = {Area and Hausdorff dimension of the set of accessible points of the Julia sets of λe^z and λ sin(z)},

url = {http://eudml.org/doc/212334},

volume = {159},

year = {1999},

}

TY - JOUR

AU - Karpińska, Bogusława

TI - Area and Hausdorff dimension of the set of accessible points of the Julia sets of λe^z and λ sin(z)

JO - Fundamenta Mathematicae

PY - 1999

VL - 159

IS - 3

SP - 269

EP - 287

AB -

LA - eng

KW - positive Lebesgue measure; attractor; fixed points; repellor; basin of attraction; Julia set; accessible points; Hausdorff dimension

UR - http://eudml.org/doc/212334

ER -

## References

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- [8] N. Makarov, On the distortion of boundary sets under conformal mappings, Proc. London Math. Soc. 51 (1985), 369-384. Zbl0573.30029
- [9] J. Mayer, An explosion point for the set of endpoints of the Julia set of λexp(z), Ergodic Theory Dynam. Systems 10 (1990), 177-183.
- [10] C. McMullen, Area and Hausdorff dimension of Julia sets of entire functions, Trans. Amer. Math. Soc. 300 (1987), 329-342. Zbl0618.30027
- [11] F. Przytycki and M. Urbański, Conformal repellers and ergodic theory, in preparation. Zbl1202.37001
- [12] D. Ruelle, Repellers for real analytic maps, Ergodic Theory Dynam. Systems 2 (1982), 99-107. Zbl0506.58024

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