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math.NT2017★ 6 cited
Bifurcation sets arising from non-integer base expansions
Pieter Allaart, Simon Baker, Derong Kong
Given a positive integer and , let be the set of having a unique -expansion: there exists a unique sequence $(x_i)=x_1x_2\ldot…
math.NT2017
Bases in which some numbers have exactly two expansions
Vilmos Komornik, Derong Kong
In this paper we answer several questions raised by Sidorov on the set of bases in which there exist numbers with exactly two expansions. In particular, we prove tha…