Yan Huang

activity

20222026

collaborators

6 papers

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.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…

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…

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\…

math.NT2023

Rational approximation with generalised $α$ -Lüroth expansions

Yan Huang, Charlene Kalle

For a fixed $α$ , each real number $x \in (0, 1)$ can be represented by many different generalised $α$ -Lüroth expansions. Each such expansion produces for the number $x$ a sequence o…

math.DS2022

Intersections of middle- $α$ Cantor sets with a fixed translation

Yan Huang, Derong Kong

For $λ \in (0, 1/3]$ let $C_{λ}$ be the middle- $(1 - 2 λ)$ Cantor set in $R$ . Given $t \in [- 1, 1]$ , excluding the trivial case we show that \[ Λ(t):=\left\{λ\in(0,1/3]: C_λ\cap(C_λ+t…

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

The coincidence of Rényi-Parry measures for β-transformation

Order-six CHMs containing exactly three distinct elements

Approximation properties of the intermediate β-expansions

Rational approximation with generalised α-Lüroth expansions

Intersections of middle-α Cantor sets with a fixed translation

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

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

Approximation properties of the intermediate $β$ -expansions

Rational approximation with generalised $α$ -Lüroth expansions

Intersections of middle- $α$ Cantor sets with a fixed translation