Lifeng Xi

activity

20122019

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

26 citations · 57 across the 16 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.DS2019★ 5 cited

Multiplication on uniform $λ$ -Cantor sets

Jiangwen Gu, Kan Jiang, Lifeng Xi +1

Let $C$ be the middle-third Cantor set. Define $C * C = {x * y : x, y \in C}$ , where $* = +, -, \cdot, \div$ (when $* = \div$ , we assume $y \neq = 0$ ). Steinhaus \cite{HS} proved in 1917 that \[ C-C=[-1,1]…

math.MG2019

On the Separation Structure of Lalley-Gatzouras Fractals

Li-Feng Xi, Jun Jie Miao, Ying Xiong

We obtain a necessary and sufficient condition for Lalley-Gatzouras sets to be uniform disconnected. This enable us to find all Lalley-Gatzouras sets which are quasisymmetrically e…

math.NT2019

On arithmetic progressions in self-similar sets

Kan Jiang, Qiyang Pei, Lifeng Xi

Given a sequence ${b_{i}}_{i = 1}^{n}$ and a ratio $λ \in (0, 1),$ let $E = \cup_{i = 1}^{n} (λ E + b_{i})$ be a homogeneous self-similar set. In this paper, we study the existence and maximal l…

Multiplication on uniform λ-Cantor sets

On the Separation Structure of Lalley-Gatzouras Fractals

On arithmetic progressions in self-similar sets

Multiplication on uniform $λ$ -Cantor sets