Yan Huang

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20242026

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math.DS2026

Negative $I^^{2}$ -transformations: invariant measures, subshifts of finite type and matching property

Yan Huang, Yun Sun

We study the negative beta transformations $T_{- I^^{2}} := - I^^{2} x + ⌊ I^^{2} x ⌋ + 1$ for $x \in (0, 1]$ and $I^^{2} > 1$ . We present a complete characterization of pairs of dstinct non-integers…

math.DS2025

Approximation properties of the intermediate $I^^{2}$ -expansions

Karma Dajani, Yan Huang

Given $I^^{2} > 1$ and $I^\pm \in [0, 1)$ , let $T_{I^^{2}, I^\pm} (x) = I^^{2} x + I^\pm (mod 1)$ . Then under the map $T_{I^^{2}, I^\pm}$ each $x \in [0, 1]$ has an \emph{intermediate $I^^{2}$ -expansion} of the form $x=\sum_{i=1…

math.DS2025

Yan Huang, Zhiqiang Wang

We present a complete characterization of two different non-integers with the same RÃ©nyi-Parry measure. We prove that for two non-integers $I^_{1}^{2}, I^_{2}^{2} > 1$ , the RÃ©nyi-Parry measur…

Negative I^2-transformations: invariant measures, subshifts of finite type and matching property

Approximation properties of the intermediate I^2-expansions

The coincidence of RÃ©nyi-Parry measures for I^2-transformation

Negative $I^^{2}$ -transformations: invariant measures, subshifts of finite type and matching property

Approximation properties of the intermediate $I^^{2}$ -expansions

The coincidence of RÃ©nyi-Parry measures for $I^^{2}$ -transformation