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 = ( [GRAPHICS] ) be a real upper triangular expanding matrix and.. = {(0 0), (d(1) 0), (d(2) d(3))} be a three-element real digit set with d(1)d(3) not equal 0, and let {n(k)}(k=1)(infinity) be a sequence of positive integers with upper bound. The infinite convolutions mu(M,D,{nk}) = delta(M-n1 D) * delta(M-(n1 + n2) D) * center dot center dot center dot * delta(M-(n1 +center dot center dot center dot+ nk) D) * center dot center dot center dot converges weakly to a Borel probability measure (homogeneous Moran measure). In this paper, we study the existence of exponential orthonormal basi...