Jun Jie Miao

collaborators

3 papers

math.FA2024

Orthogonal bases of exponential functions for infinite convolutions

Jun Jie Miao, Hong Bo Zhao

Let $μ$ denot the infinite convolution generated by ${(N_{k}, B_{k})}_{k = 1}^{\infty}$ given by $$ μ=δ_{{N_1}^{-1}B_1}\astδ_{(N_1N_2)^{-1}B_2}\ast\dots\astδ_{(N_1N_2\cdots N_k)^{-1}B_k}…

math.CA2023

Multifractal analysis of a class of self-affine Moran sets

Yifei Gu, Chuanyan Hou, Jun Jie Miao

In the paper, we investigate the fine multifractal spectrum of a class of self-affine Moran sets with fixed frequencies, and we prove that under certain separation conditions, the…

math.CA2023

Dimensions of a class of self-affine Moran sets and measures in $R^{2}$

Yifei Gu, Chuanyan Hou, Jun Jie Miao

For each integer $k > 0$ , let $n_{k}$ and $m_{k}$ be integers such that $n_{k} \geq 2, m_{k} \geq 2$ , and let $D_{k}$ be a subset of ${0, \dots, n_{k} - 1} \times {0, \dots, m_{k} - 1}$ . For ea…

Orthogonal bases of exponential functions for infinite convolutions

Multifractal analysis of a class of self-affine Moran sets

Dimensions of a class of self-affine Moran sets and measures in R2

Dimensions of a class of self-affine Moran sets and measures in $R^{2}$