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P. Allaart

31 papers hereh-index 14639 citations78 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author17
  • first author14

Across the 31 of 31 papers where every author was matched, so the position is known.

fields
  • math.CA14
  • math.DS6
  • math.PR6
  • math.NT5

identity via Semantic Scholar / OpenAlex

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 2016Show all

2 papers · 1 filter

math.CA2016

Differentiability of a two-parameter family of self-affine functions

Pieter C. Allaart

This paper highlights an unexpected connection between expansions of real numbers to noninteger bases (so-called {\em β-expansions}) and the infinite derivatives of a class of se…

math.NT2016

On univoque and strongly univoque sets

Pieter C. Allaart

Much has been written about expansions of real numbers in noninteger bases. Particularly, for a finite alphabet {0,1,…,α} and a real number (base) 1<β<α+1, the so-called…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.