Yun Sun

activity

20232026

most citedTopological expansive Lorenz maps with a hole at critical point

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.DS2026

Open dynamical systems in topologically expansive decreasing Lorenz maps

Yiming Ding, Wolfgang Steiner, Yun Sun

We develop a parity-sensitive admissibility theory for topologically expansive decreasing Lorenz maps. By embedding them into the standard circle map $m_{- 2}$ , we realize every dec…

math.DS2026

Negative $β$ -transformations: invariant measures, matching properties and associated subshifts

Yan Huang, Lingmin Liao, Yun Sun

For a real number $β > 1$ , we study the negative $β$ -transformations, defined by $T_{- β} (x) := - β x + ⌊ β x ⌋ + 1$ for $x \in (0, 1]$ . It is known that for each $β > 1$ , there e…

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…

Open dynamical systems in topologically expansive decreasing Lorenz maps

Negative β-transformations: invariant measures, matching properties and associated subshifts

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

Topological expansive Lorenz maps with a hole at critical point

Negative $β$ -transformations: invariant measures, matching properties and associated subshifts