2014/12/16 by Xin-Rong Dai, Qiyu Sun, Dai, Xin-Rong +1
Computer Science · Mathematics · #28A80 #42C05 #42C40 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1412.4852
openalex publication_date 2014/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we consider spectral properties of Riesz product measures supported on homogeneous Cantor sets and we show the existence of spectral measures with arbitrary Hausdorff dimensions, including non-atomic zero-dimensional spectral measures and one-dimensional singular spectral measures.