Patterns in thick compact sets
Classical Analysis and ODEs
2020-06-24 v2 Combinatorics
Dynamical Systems
Abstract
We introduce a connection between Newhouse thickness and patterns through a variant of Schmidt's game introduced by Broderick, Fishman and Simmons. This yields an explicit, robust and checkable condition that ensures the presence of patterns in compact sets, in particular in Cantor sets.
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Cite
@article{arxiv.1910.10057,
title = {Patterns in thick compact sets},
author = {Alexia Yavicoli},
journal= {arXiv preprint arXiv:1910.10057},
year = {2020}
}
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22 pages