Rippon, P. J. and Stallard, G. M.
|DOI (Digital Object Identifier) Link:||http://dx.doi.org/doi:10.1090/S0002-9939-2011-10842-6|
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Let be a transcendental entire function and be a Fatou component of . We show that if is an escaping wandering domain of , then most boundary points of (in the sense of harmonic measure) are also escaping. In the other direction we show that if enough boundary points of are escaping, then is an escaping Fatou component. Some applications of these results are given; for example, if is the escaping set of , then is connected.
|Item Type:||Journal Article|
|Copyright Holders:||2011 American Mathematical Society|
|Funders:||EPSRC grant EP/H006591/1|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics|
|Depositing User:||Philip Rippon|
|Date Deposited:||17 Jan 2012 11:15|
|Last Modified:||05 Dec 2012 15:43|
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