Yifei Gu

activity

20232026

collaborators

5 papers

math.CA2026

Minkowski geometry of finite Hurwitz continued fractions

Yifei Gu, Lai Jiang

We study the Minkowski geometry of finite-level sets of Gaussian rationals defined by the lengths of their Hurwitz continued fraction expansions. For each $m \geq 1$ , let $H_{m}$ be t…

math.DS2024

Generalized $q$ -dimensions of measures on nonautonomous fractals

Yifei Gu, Jun Jie Miao

In the paper, we study the generalized $q$ -dimensions of measures supported by nonautonomous attractors, which are the generalization of classic Moran sets and attractors of iterat…

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.…

Minkowski geometry of finite Hurwitz continued fractions

Generalized q-dimensions of measures on nonautonomous fractals

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

Generalized $q$ -dimensions of measures on nonautonomous fractals

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