Yuhan Zhang

collaborators

3 papers

math.DS2025

Phase transitions for unique codings of fat Sierpinski gaskets with multiple digits

Yi Cai, Derong Kong, Wenxia Li +1

Given an integer $M \geq 1$ and $β \in (1, M + 1)$ , let $S_{β, M}$ be the fat Sierpinski gasket in $R^{2}$ generated by the iterated function system $\left\{f_d(x)=\frac{x+d}β: d\i…

math.DS2023

Periodic unique codings of fat Sierpinski gasket

Derong Kong, Yuhan Zhang

For $β > 1$ let $S_{β}$ be the Sierpinski gasket generated by the iterated function system \[\left\{f_{α_0}(x,y)=\Big(\frac{x}β,\frac{y}β\Big), \quad f_{α_1}(x,y)=\Big(\frac{x+1}β, \fr…

math.NT2023

Correct order on some certain weighted representation functions

Shi--Qiang Chen, Yuchen Ding, Xiaodong Lü +1

Let $N$ be the set of all nonnegative integers. For any positive integer $k$ and any subset $A$ of nonnegative integers, let $r_{1, k} (A, n)$ be the number of solutions $(a_…