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Abstract
We investigate the curves in the complex plane which are generated by sequences of real numbers being the lifts of the points on the orbit of an orientation preserving circle homeomorphism. Geometrical properties of these curves such as boundedness, superficiality, local discrete radius of curvature are linked with dynamical properties of the circle homeomorphism which generates them: rotation number and its continued fraction expansion, existence of a continuous solution of the corresponding cohomological equation and displacement sequence along the orbit.
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s10711-022-00676-9
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
GEOMETRIAE DEDICATA
no. 216,
ISSN: 0046-5755 - Language:
- English
- Publication year:
- 2022
- Bibliographic description:
- Signerska-Rynkowska J.: Curlicues generated by circle homeomorphisms// GEOMETRIAE DEDICATA -Vol. 216,iss. 2 (2022),
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s10711-022-00676-9
- Sources of funding:
- Verified by:
- Gdańsk University of Technology
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