Cheng Liu

collaborators

2 papers

math.DS2026

Survivor Set of Gauss Map with a Hole at $1$

Cheng Liu, Lingmin Liao

Let $T$ be the Gauss map. For each $α \in [0, 1]$ , let $E (α)$ be the survivor set consisting of all $x \in [0, 1]$ whose orbit ${T^{k} (x) : k \geq 0}$ never enters the interval $(α, 1]$ . We…

math.CA2026

$P$ -adic $s$ -energy and Fourier dimension

Cheng Liu, Lingmin Liao

We extend the theory of $s$ -energy to $Q_{p}^{n}$ . We give an exact representation for the $s$ -energy in terms of the Fourier coefficients of a finite Borel measure with suppo…

Survivor Set of Gauss Map with a Hole at 1

P-adic s-energy and Fourier dimension

Survivor Set of Gauss Map with a Hole at $1$

$P$ -adic $s$ -energy and Fourier dimension