Wenxia Li

collaborators

Showing math.CAShow all

2 papers · 1 filter

math.CA2025

On the Eigen-Falconer theorem in $R^{d}$

Wenxia Li, Zhiqiang Wang, Jiayi Xu

In this paper, we study the analogous ErdÅs similarity conjecture in higher dimensions and generalize the Eigen-Falconer theorem. We show that if $A=\{\boldsymbol{x}_n\}_{n=1}^\in…

math.CA2025

On the intersection of Cantor set with the unit circle and some sequences

Kan Jiang, Derong Kong, Wenxia Li +1

For $I^» \in (0, 1/2)$ let $K_{I^} »$ be the self-similar set in $R$ generated by the iterated function system ${f_{0} (x) = I^» x, f_{1} (x) = I^» x + 1 - I^»}$ . In this paper, we investigate the…

On the Eigen-Falconer theorem in Rd

On the intersection of Cantor set with the unit circle and some sequences

On the Eigen-Falconer theorem in $R^{d}$