Abstract
In this note we describe a discrete dynamical system acting on the similarity classes of a plane convex body within the affine class of the body. We find invariant elements in all affine classes, and describe the orbits of bodies in some special classes. We point out applications with abrasion processes of pebble shapes.
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Acknowledgements
The authors gratefully acknowledge the support of the János Bolyai Research Scholarship of the Hungarian Academy of Sciences and support from OTKA Grant 119245.
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Domokos, G., Lángi, Z. & Mezei, M. A Shape Evolution Model Under Affine Transformations. Mediterr. J. Math. 14, 210 (2017). https://doi.org/10.1007/s00009-017-1008-5
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DOI: https://doi.org/10.1007/s00009-017-1008-5