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Dimensions of Julia sets of hyperbolic meromorphic functions

Stallard, Gwyneth M. (2001). Dimensions of Julia sets of hyperbolic meromorphic functions. Bulletin of the London Mathematical Society, 33(6) pp. 689–694.

URL: http://journals.cambridge.org/action/displayIssue?...
DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1112/S0024609301008426
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Abstract

It is known that, if $f$ is a hyperbolic rational function, then the Hausdorff, packing and box dimensions of the Julia set $J(f)$ are equal. In this paper it is shown that, for a hyperbolic transcendental meromorphic function $f$, the packing and upper box dimensions of $J(f)$ are equal, but can be strictly greater than the Hausdorff dimension of $J(f)$.

Item Type: Journal Article
ISSN: 1469-2120
Extra Information: Some of the symbols may not have transferred correctly into this bibliographic record and/or abstract.
Keywords: dimensions; Julia sets
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 3831
Depositing User: Gwyneth Stallard
Date Deposited: 24 Jul 2006
Last Modified: 02 Dec 2010 19:50
URI: http://oro.open.ac.uk/id/eprint/3831
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