On the Hausdorff dimension of fractals given by certain expansions of real numbers

Jörg Neunhäuserer

doi:10.1007/s00013-011-0320-8

On the Hausdorff dimension of fractals given by certain expansions of real numbers

Jörg Neunhäuserer

Research output: Journal contributions › Journal articles › Research › peer-review

3 Citations (Scopus)

Abstract

We transfer classical results on the Hausdorff dimension of b-adic and continued fraction expansions of real numbers to another expansion.

Original language	English
Journal	Archiv der Mathematik
Volume	97
Issue number	5
Pages (from-to)	459-466
Number of pages	8
DOIs	https://doi.org/10.1007/s00013-011-0320-8
Publication status	Published - 11.2011

Research areas and keywords

Mathematics

ASJC Scopus Subject Areas

Mathematics(all)

Access to Document

10.1007/s00013-011-0320-8

Cite this

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title = "On the Hausdorff dimension of fractals given by certain expansions of real numbers",

abstract = "We transfer classical results on the Hausdorff dimension of b-adic and continued fraction expansions of real numbers to another expansion.",

keywords = "Mathematics, expansions of real numbers, hausdorff dimension, fractals",

author = "J{\"o}rg Neunh{\"a}userer",

year = "2011",

month = nov,

doi = "10.1007/s00013-011-0320-8",

language = "English",

volume = "97",

pages = "459--466",

journal = "Archiv der Mathematik",

issn = "1420-8938",

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AU - Neunhäuserer, Jörg

PY - 2011/11

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N2 - We transfer classical results on the Hausdorff dimension of b-adic and continued fraction expansions of real numbers to another expansion.

AB - We transfer classical results on the Hausdorff dimension of b-adic and continued fraction expansions of real numbers to another expansion.

KW - Mathematics

KW - expansions of real numbers

KW - hausdorff dimension

KW - fractals

UR - https://www.scopus.com/pages/publications/81455154322

U2 - 10.1007/s00013-011-0320-8

DO - 10.1007/s00013-011-0320-8

M3 - Journal articles

SN - 1420-8938

VL - 97

SP - 459

EP - 466

JO - Archiv der Mathematik

JF - Archiv der Mathematik

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ER -