J. Miao

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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…

math.CA2023

Dimension theory of Non-Autonomous iterated function systems

Yifei Gu, Jun Jie Miao

In the paper, we define a class of new fractals named ``non-autonomous attractors", which are the generalization of classic Moran sets and attractors of iterated function systems.…

Multifractal analysis of a class of self-affine Moran sets

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

Dimension theory of Non-Autonomous iterated function systems

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