Yuanfen Xiao

activity

20192026

collaborators

3 papers

math.DS2026

The-Hausdorff-dimension-of-the-survivor-set

Rui Kuang, Bing Li, Yuanfen Xiao

Let $1 < β < 2$ , the sequence $α (β) = α (β)_{1} α (β)_{2} \dots$ be the quasi-greedy $β$ -expansion of $1$ , and $t \in [0, 1)$ be a bifurcation parameter. The $β$ -transformation is define…

math.DS2023

The mean orbital pseudo-metric and the space of invariant measures

Jian Li, Yuanfen Xiao

We study the mean orbital pseudo-metric for Polish dynamical systems and its connections with properties of the space of invariant measures. We give equivalent conditions for when…

math.DS2019

The Hausdorff dimension of multiply Xiong chaotic sets

Jian Li, Jie Lü, Yuanfen Xiao

We construct a multiply Xiong chaotic set with full Hausdorff dimension everywhere that is contained in some multiply proximal cell for the full shift over finite symbols and the G…