Xin-Rong Dai

activity

20152026

collaborators

3 papers

math.CO2026

Factorization of Finite Cyclic Group $Z_{(pq r)^{2}}$ : Szabó Pairs and Full Tiling Structures

Xin-Rong Dai

In the study of factorizations of finite cyclic groups, a classical problem is to investigate the properties of factorization sets $A$ and $B$ in the direct sum decomposition $A \o…

math.FA2022

The Answer to Baggett's Problem is Affirmative

Xingde Dai

Let $ψ$ be a Parceval wavelet in $L^{2} (R)$ with the space of negative dilates $V (ψ)$ . The intersection of the dilates $V (ψ)$ is the zero space. In other words, we have \begin{alig…

math.GN2015

Space-filling curves of self-similar sets (II): Edge-to-trail substitution rule

Xi-rong Dai, Hui Rao, Shu-qin Zhang

It is well-known that the constructions of space-filling curves depend on certain substitution rules. For a given self-similar set, finding such rules is somehow mysterious, and it…

Factorization of Finite Cyclic Group Z(pqr)2​: Szabó Pairs and Full Tiling Structures

The Answer to Baggett's Problem is Affirmative

Space-filling curves of self-similar sets (II): Edge-to-trail substitution rule

Factorization of Finite Cyclic Group $Z_{(pq r)^{2}}$ : Szabó Pairs and Full Tiling Structures