On the box dimensions of graphs of typical continuous functions

J Hyde; Vaios Laschos; L Olsen; I Petrykiewicz; A Shaw

doi:10.1016/j.jmaa.2012.02.044

On the box dimensions of graphs of typical continuous functions

J Hyde, Vaios Laschos, L Olsen, I Petrykiewicz, A Shaw

Department of Mathematical Sciences

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

5 Citations (SciVal)

188 Downloads (Pure)

Original language	English
Pages (from-to)	567-581
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	391
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2012.02.044
Publication status	Published - 2012

Keywords

continuous function
box dimension
Baire category

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10.1016/j.jmaa.2012.02.044

Laschos_JMAA_2012_391_2_567.pdf
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications, vol 391, issue 2, 2012, DOI: 10.1016/j.jmaa.2012.02.044
Accepted author manuscript, 2.01 MB

Cite this

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AU - Laschos, Vaios

AU - Olsen, L

AU - Petrykiewicz, I

AU - Shaw, A

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KW - box dimension

KW - Baire category

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

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On the box dimensions of graphs of typical continuous functions

Keywords

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