An extension of Minkowski's singular function

R. F. Tichy*, Josef Uitz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Generalizing the so-called Minkowski function, a family of continuous, strictly increasing singular functions on the unit interval is introduced. We investigate the Hausdorff dimension of the set of points where the singular functions have nonvanishing derivatives.

Original languageEnglish
Pages (from-to)39-46
Number of pages8
JournalApplied Mathematics Letters
Issue number5
Publication statusPublished - Sept 1995


  • Chaotic systems
  • Farey shift
  • Hausdorff dimension
  • Singular functions

ASJC Scopus subject areas

  • Applied Mathematics


Dive into the research topics of 'An extension of Minkowski's singular function'. Together they form a unique fingerprint.

Cite this