Jvbin Yao

collaborators

5 papers

math.GR2026

Small Kazhdan constants for small generating sets of linear groups

Tsachik Gelander, Alex Lubotzky, Jvbin Yao

Let G be a linear group with Kazhdan property (T) generated by d elements. We show that there are generating sets of size d+2 with arbitrarily small Kazhdan constants. We also prov…

math.GR2026

Kazhdan constants for two-element generating sets of $SL_{n} (Z)$

Jvbin Yao

For $n \geq 3$ , the group $SL_{n} (Z)$ has property $(T)$ , so every finite generating set has a positive Kazhdan constant. However, it was recently shown that the infim…

math.GR2026

Non Uniform Kazhdan Constant for Linear Groups

Alexander Lubotzky, Jvbin Yao

A group $Γ$ generated by a finite set $S$ has Property $(T)$ if the associated Kazhdan constant $κ (Γ, S)$ is positive. If so, the same holds for every finite generating set $S$ . The…

math.GR2026

Entropy on Homogeneous Spaces and Classification Results for Subgroups with the Pair Rapid Decay Property

Jvbin Yao

We study pair rapid decay for homogeneous spaces $G/H$ and its applications to random walks and subgroup structure. The entropy framework for groups with rapid decay is extended…

math.FA2025

Coarse Geometry of Free Products of Metric Spaces

Qin Wang, Jvbin Yao

Recently, a notion of the free product $X * Y$ of two metric spaces $X$ and $Y$ has been introduced by T. Fukaya and T. Matsuka. In this paper, we study coarse geometric permane…

Small Kazhdan constants for small generating sets of linear groups

Kazhdan constants for two-element generating sets of SLn​(Z)

Non Uniform Kazhdan Constant for Linear Groups

Entropy on Homogeneous Spaces and Classification Results for Subgroups with the Pair Rapid Decay Property

Coarse Geometry of Free Products of Metric Spaces

Kazhdan constants for two-element generating sets of $SL_{n} (Z)$