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Self-affine sets in analytic curves and algebraic surfaces

Abstract
We characterize analytic curves that contain non-trivial self-affine sets. We also prove that compact algebraic surfaces do not contain non-trivial self-affine sets.
Main Authors
Feng, De-Jun Käenmäki, Antti
Format
Articles Research article
Published
2018
Series
Annales Academiae Scientiarum Fennicae Mathematica
Subjects
self-affine set
analytic curve
algebraic surface
fraktaalit
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/27955499
Publisher
Suomalainen tiedeakatemia
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201903201914Use this for linking
Review status
Peer reviewed
ISSN
1239-629X
DOI
https://doi.org/10.5186/aasfm.2018.4306
Language
English
Published in
Annales Academiae Scientiarum Fennicae Mathematica
Citation
  • Feng, D.-J., & Käenmäki, A. (2018). Self-affine sets in analytic curves and algebraic surfaces. Annales Academiae Scientiarum Fennicae Mathematica, 43, 109-119. https://doi.org/10.5186/aasfm.2018.4306
License
In CopyrightOpen Access
Copyright© The Authors & Academia Scientiarum Fennica, 2017.

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