Yan Huang

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20242026

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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.DS2025

The coincidence of Rényi-Parry measures for $β$ -transformation

Yan Huang, Zhiqiang Wang

We present a complete characterization of two different non-integers with the same Rényi-Parry measure. We prove that for two non-integers $β_{1}, β_{2} > 1$ , the Rényi-Parry measures c…

math.DS2024

Approximation properties of the intermediate $β$ -expansions

Karma Dajani, Yan Huang

Given $β > 1$ and $α \in [0, 1)$ , let $T_{β, α} (x) = β x + α (mod 1)$ . Then under the map $T_{β, α}$ each $x \in [0, 1]$ has an \emph{intermediate $β$ -expansion} of the form $x=\sum_{i=1}^\infty\…

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

The coincidence of Rényi-Parry measures for β-transformation

Approximation properties of the intermediate β-expansions

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

The coincidence of Rényi-Parry measures for $β$ -transformation

Approximation properties of the intermediate $β$ -expansions