Rempe, Lasse and Stallard, Gwyneth M.
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Suppose that f and g are transcendental entire functions, each with a bounded set of singular values, and that f and g are affinely equivalent. We show that the escaping sets of f and g have the same Hausdorff dimension. Using a result of the second author, we deduce that there exists a family of transcendental entire functions for which the escaping set has Hausdorff dimension equal to one.
|Item Type:||Journal Article|
|Copyright Holders:||2009 American Mathematical Society|
|Project Funding Details:||
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Gwyneth Stallard|
|Date Deposited:||20 Oct 2010 11:02|
|Last Modified:||04 Oct 2016 10:47|
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