Bing Li

activity

20232026

most citedFourier dimension of Mandelbrot multiplicative cascades

1 citations · 2 across the 5 of their papers we have counts for

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3 papers · 1 filter

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.DS2024

Two bifurcation sets of expansive Lorenz maps with a hole at the critical point

Yun Sun, Bing Li

Let $f$ be an expansive Lorenz map on $[0, 1]$ and $c$ be the critical point. The survivor set we are discussing here is denoted as $S^+_{f}(a,b):=\{x\in[0,1]:f(b)\leq f^{n}(x) \leq…

math.DS2023★ 1 cited

Topological expansive Lorenz maps with a hole at critical point

Yun Sun, Bing Li, Yiming Ding

Let $f$ be an expansive Lorenz map and $c$ be the critical point. The survivor set is denoted as $S_{f} (H) := {x \in [0, 1] : f^{n} (x) \in / H, \forall n \geq 0}$ , where $H$ is a open s…