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math.FA2026
Spectrality and eigen sets of infinite convolutions and random measures generated by admissible pairs
Jun Jie Miao, Hongbo Zhao
In this paper, we construct a class of random measures by infinite convolutions. Given admissible pairs and a sequence $\bn=\{n_{k}\…
math.DS2026
Reverse Iterated Function Systems: Density, Dimensions, and -adic Extension
Junjie Miao, Minghui Xu
Strichartz initiated the study of reverse iterated function systems (RIFSs) on integer lattices and the dimensions of their invariant sets. We develop a dimension theory for RIFSs…