Combinatorial properties of beta expansions

  • Simon Baker

Student thesis: Phd

Abstract

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 Award1 Aug 2014
Original languageEnglish
Awarding Institution
  • The University of Manchester
SupervisorNikita Sidorov (Supervisor) & Paul Glendinning (Supervisor)

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