P. Allaart

activity

20062023

most citedOn the continuity of the Hausdorff dimension of the univoque set

17 citations · 59 across the 22 of their papers we have counts for

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Showing 2021 · math.DSShow all

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math.DS2021

Critical values for the $β$ -transformation with a hole at $0$

Pieter Allaart, Derong Kong

Given $β \in (1, 2]$ , let $T_{β}$ be the $β$ -transformation on the unit circle $[0, 1)$ such that $T_{β} (x) = β x (mod 1)$ . For each $t \in [0, 1)$ let $K_{β} (t)$ be the survivor set consisting of…

Critical values for the β-transformation with a hole at 0

Critical values for the $β$ -transformation with a hole at $0$