Yan Huang

activity

20242026

collaborators

4 papers

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…

quant-ph2024

Order-six CHMs containing exactly three distinct elements

Yanzu Huang, Mengfan Liang, Lin Chen

Complex Hadamard matrices (CHMs) are intimately related to the number of distinct matrix elements. We investigate CHMs containing exactly three distinct elements, which is also the…

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

Order-six CHMs containing exactly three distinct elements

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