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math.DS2018
An algebraic approach to entropy plateaus in non-integer base expansions
Pieter C. Allaart
For a positive integer and a real base , let denote the set of numbers having a unique expansion in base over the alphabet , a…
math.DS2018
On the continuity of the Hausdorff dimension of the univoque set
Pieter Allaart, Derong Kong
In a recent paper [Adv. Math. 305:165--196, 2017], Komornik et al.~proved a long-conjectured formula for the Hausdorff dimension of the set of numbers having a uniq…