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

collaborators

Showing 2017Show all

2 papers · 1 filter

math.CA2017

Differentiability and Hölder spectra of a class of self-affine functions

Pieter C. Allaart

This paper studies a large class of continuous functions $f : [0, 1] \to R^{d}$ whose range is the attractor of an iterated function system ${S_{1}, \dots, S_{m}}$ consisting of si…

math.NT2017★ 6 cited

Bifurcation sets arising from non-integer base expansions

Pieter Allaart, Simon Baker, Derong Kong

Given a positive integer $M$ and $q \in (1, M + 1]$ , let $U_{q}$ be the set of $x \in [0, M / (q - 1)]$ having a unique $q$ -expansion: there exists a unique sequence $(x_i)=x_1x_2\ldot…