Critical bases for ternary alphabets

Abstract

Glendinning and Sidorov discovered an important feature of the Komornik-Loreti constant q'≈1.78723 in non-integer base expansions on two-letter alphabets: in bases 1<q<q' only countably numbers have unique expansions, while for q q' there is a continuum of such numbers. We investigate the analogous question for ternary alphabets.

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…