Xin Zhang

activity

20162026

most citedRevisit of the interacting holographic dark energy model after Planck 2015

70 citations · 70 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2026

Expansion in $SL_{2} (Z / q Z)$ and Zaremba's conjecture

Xin Zhang

We establish an expansion theory for $SL_{2} (Z / q Z)$ . Incorporating this into a framework recently developed by Shkredov, we confirm Zaremba's conjecture.

math.GR2023

Super approximation for $SL_{2} \times SL_{2}$ and $ASL_{2}$

Jincheng Tang, Xin Zhang

Let $S \subset SL_{2} (Z) \times SL_{2} (Z)$ or $SL_{2} (Z) ⋉ Z^{2}$ be finite symmetric and assume $S$ generates a group $G$ which is…

math.CO2023

Cooperative coloring of some graph families

Xuqing Bai, Bi Li, Chuandong Xu +1

In a family $G_{1}, G_{2}, \dots, G_{m}$ of graphs sharing the same vertex set $V$ , a cooperative coloring involves selecting one independent set $I_{i}$ from $G_{i}$ for each $i\in \{1,2…

math.GR2019

Logarithmic bounds for the diameters of some Cayley graphs

Lam Pham, Xin Zhang

Let $S \subset GL_{n} (Z)$ be a finite symmetric set. We show that if the Zariski closure of $Γ = ⟨ S ⟩$ is a product of $SL_{d}$ or a special affine linear…

math.GR2018

Inducing Super-Approximation

Alireza Salehi Golsefidy, Xin Zhang

Let $Γ_{2} \subseteq Γ_{1}$ be finitely generated subgroups of $GL_{n_{0}} (Z [1/ q_{0}])$ . For $i = 1$ or $2$ , let $G_{i}$ be the Zariski-closure of $Γ_{i}$ in $({\rm GL}_{n…

math.NT2016

On Representation of Integers from Thin Subgroups of SL(2,Z) with Parabolics

Xin Zhang

Let $Λ < S L (2, Z)$ be a finitely generated, non-elementary Fuchsian group of the second kind, and $v, w$ be two primitive vectors in $Z^{2} - (0, 0)$ . We consider the set…

astro-ph.CO2016★ 70 cited

Revisit of the interacting holographic dark energy model after Planck 2015

Lu Feng, Xin Zhang

We investigate the observational constraints on the interacting holographic dark energy model. We consider five typical interacting models with the interaction terms $Q=3βHρ_{\rm{d…

Expansion in SL2​(Z/qZ) and Zaremba's conjecture

Super approximation for SL2​×SL2​ and ASL2​

Cooperative coloring of some graph families

Logarithmic bounds for the diameters of some Cayley graphs

Inducing Super-Approximation

On Representation of Integers from Thin Subgroups of SL(2,Z) with Parabolics

Revisit of the interacting holographic dark energy model after Planck 2015

Expansion in $SL_{2} (Z / q Z)$ and Zaremba's conjecture

Super approximation for $SL_{2} \times SL_{2}$ and $ASL_{2}$