Sanguo Zhu

collaborators

2 papers

math.CA2026

Convergence order of the quantization error for self-affine measures on Lalley-Gatzouras carpets

Sanguo Zhu

Let $E$ be a Lalley-Gatzouras carpet determined by a set of contractive affine mappings ${f_{ij}}_{(i, j) \in G}$ . We study the asymptotics of quantization error for the self-affin…

math.FA2025

Asymptotic order of the quantization error for a class of self-similar measures with overlaps

Sanguo Zhu

Let ${f_{i}}_{i = 1}^{N}$ be a set of equi-contractive similitudes on $R^{1}$ satisfying the finite-type condition. We study the asymptotic quantization error for self-similar m…