Yun Sun

activity

20232026

collaborators

3 papers

math.DS2026

Negative $β$ -transformations: invariant measures, subshifts of finite type and matching property

Yan Huang, Yun Sun

We study the negative beta transformations $T_{- β} := - β x + ⌊ β x ⌋ + 1$ for $x \in (0, 1]$ and $β > 1$ . We present a complete characterization of pairs of dstinct non-integers with…

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

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…

Negative β-transformations: invariant measures, subshifts of finite type and matching property

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, subshifts of finite type and matching property