Ying Xiong

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20132022

most citedLipschitz Equivalence Class, Ideal Class and the Gauss Class Number Problem

26 citations · 44 across the 9 of their papers we have counts for

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math.CA2017★ 1 cited

On Assouad dimension and arithmetic progressions in sets defined by digit restrictions

Jinjun Li, Min Wu, Ying Xiong

We show that the set defined by digit restrictions contains arbitrarily long arithmetic progressions if and only if its Assouad dimension is one. Moreover, we show that for any $0\…

math.CA2016

Affine embeddings of Cantor sets and dimension of $α β$ -sets

De-Jun Feng, Ying Xiong

Let $E, F \subset R^{d}$ be two self-similar sets, and suppose that $F$ can be affinely embedded into $E$ . Under the assumption that $E$ is dust-like and has a small Hausdorff…

On Assouad dimension and arithmetic progressions in sets defined by digit restrictions

Affine embeddings of Cantor sets and dimension of αβ-sets

Affine embeddings of Cantor sets and dimension of $α β$ -sets