We study the combinatorial properties of beta expansions. In particular we study those bases which admit points with finitely many or countably many expansions. This leads to interesting questions, such as what is the smallest base admitting a points with finitely many or countably many expansions. We also consider the dimension theory of the set of expansions for a typical point within a "natural" parameter space.
Date of Award | 1 Aug 2014 |
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Original language | English |
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Awarding Institution | - The University of Manchester
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Supervisor | Nikita Sidorov (Supervisor) & Paul Glendinning (Supervisor) |
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Combinatorial properties of beta expansions
Baker, S. (Author). 1 Aug 2014
Student thesis: Phd