An extension of Minkowski's singular function

R. F. Tichy; Josef Uitz

doi:10.1016/0893-9659(95)00064-W

An extension of Minkowski's singular function

R. F. Tichy^*, Josef Uitz

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	39-46
Number of pages	8
Journal	Applied Mathematics Letters
Volume	8
Issue number	5
DOIs	https://doi.org/10.1016/0893-9659(95)00064-W
Publication status	Published - Sept 1995

Keywords

Chaotic systems
Farey shift
Hausdorff dimension
Singular functions

ASJC Scopus subject areas

Applied Mathematics

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10.1016/0893-9659(95)00064-W

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title = "An extension of Minkowski's singular function",

abstract = "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.",

keywords = "Chaotic systems, Farey shift, Hausdorff dimension, Singular functions",

author = "Tichy, {R. F.} and Josef Uitz",

year = "1995",

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AU - Tichy, R. F.

AU - Uitz, Josef

PY - 1995/9

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AB - 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.

KW - Chaotic systems

KW - Farey shift

KW - Hausdorff dimension

KW - Singular functions

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DO - 10.1016/0893-9659(95)00064-W

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JO - Applied Mathematics Letters

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ER -

An extension of Minkowski's singular function

Abstract

Keywords

ASJC Scopus subject areas

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