期刊论文

Liu, ZS

英文

CHAOS SOLITONS & FRACTALS

0960-0779

2024

183

114926

10.1016/j.chaos.2024.114926

CRediT authorship contribution statement Zong-Sheng Liu: Writing – review & editing, Writing – original draft, Visualization, Validation, Supervision, Software, Resources, Project administration, Methodology, Investigation, acquisition, Formal analysis, Data curation, Conceptualization.

本校为第一且通讯机构

Let M = ρ 1 − 1 a 0 ρ 2 − 1 be a real upper triangular expanding matrix and D = 0 0 , d 1 0 , d 2 d 3 be a three-element real digit set with d 1 d 3 ≠ 0 , and let { n k } k = 1 ∞ be a sequence of positive integers with upper bound. The infinite convolutions μ M , D , { n k } = δ M − n 1 D ∗ δ M − ( n 1 + n 2 ) D ∗ ⋯ ∗ δ M − ( n 1 + ⋯ + n k ) D ∗ ⋯ converges weakly to a Borel probability measure (homogeneous Moran measure). In this paper, we study the existence of exponential orthonormal basis for L 2 ( μ M , D , { n k } ) ....