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- W3200577955 abstract "For $lambdain(0,1/2]$ let $K_lambdasubsetmathbb R$ be a self-similar set generated by the iterated function system ${lambda x, lambda x+1-lambda}$. Given $xin(0,1/2)$, let $Lambda(x)$ be the set of $lambdain(0,1/2]$ such that $xin K_lambda$. In this paper we show that $Lambda(x)$ is a topological Cantor set having zero Lebesgue measure and full Hausdorff dimension. Furthermore, we show that for any $y_1,ldots, y_pin(0,1/2)$ there exists a full Hausdorff dimensional set of $lambdain(0,1/2]$ such that $y_1,ldots, y_p$ are common points of $K_lambda$." @default.
- W3200577955 created "2021-09-27" @default.
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- W3200577955 date "2021-09-21" @default.
- W3200577955 modified "2023-10-12" @default.
- W3200577955 title "On a class of self-similar sets which contain finitely many common points" @default.
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- W3200577955 doi "https://doi.org/10.48550/arxiv.2109.10014" @default.
- W3200577955 hasPublicationYear "2021" @default.
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