Yuanyuan Xie

activity

20212026

most citedApplication of Rothe's method to a nonlinear wave equation on graphs

4 citations · 4 across the 3 of their papers we have counts for

collaborators

5 papers

math.CA2026

On Constructions of full-dimensional absolutely normal sets of uniqueness

Chun-Kit Lai, Yu-Hao Xie

We construct a class of homogeneous Cantor-Moran measures with all contraction ratios being reciprocal of integers, and prove that they are pointwise absolutely normal. Our approac…

math.DS2025

Dimensions of orthogonal projections of typical self-affine sets and measures

De-Jun Feng, Yu-Hao Xie

Let $T_{1}, \dots, T_{m}$ be a family of $d \times d$ invertible real matrices with $∥ T_{i} ∥ < 1/2$ for $1 \leq i \leq m$ . For $a = (a_{1}, \dots, a_{m}) \in R^{m d}$ , let $π^{\bf a}\c…

math.SP2024

$L^{q}$ -spectrum of graph-directed self-similar measures that have overlaps and are essentially of finite type

Yuanyuan Xie

For self-similar measures with overlaps, closed formulas of the $L^{q}$ -spectrum have been obtained by Ngai and the author for measures that are essentially of finite type in [J. Aus…

math.AP2021

Semilinear heat equations and parabolic variational inequalities on graphs

Yong Lin, Yuanyuan Xie

Let $G = (V, E)$ be a locally finite connected weighted graph, and $Ω$ be an unbounded subset of $V$ . Using Rothe's method, we study the existence of solutions for the semilinear heat…

math.AP2021★ 4 cited

Application of Rothe's method to a nonlinear wave equation on graphs