Self-affine sets in analytic curves and algebraic surfaces

We characterize analytic curves that contain non-trivial self-affine sets. We also prove that compact algebraic surfaces cannot contain non-trivial self-affine sets.

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Bibliographic Details
Published in:arXiv.org 2017-05
Main Authors: De-Jun, Feng, Käenmäki, Antti
Format: Article
Language:English
Subjects:
Algebra
Online Access:Get full text
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Description
Summary:We characterize analytic curves that contain non-trivial self-affine sets. We also prove that compact algebraic surfaces cannot contain non-trivial self-affine sets.
ISSN:2331-8422
DOI:10.48550/arxiv.1612.07136