Zhufeng Yao

collaborators

3 papers

math.DG2026

Hausdorff Dimension of Anosov Subgroups' Limit Sets with Special Self-Affine Complexity

Zhufeng Yao

Let $Γ \subset PGL (d, R)$ be an irreducible projective Anosov subgroup and let $Λ^{1} (Γ)$ be its projective limit set. Viewing $Λ^{1} (Γ)$ as an analogue of a self-affin…

math.DG2026

Entropy Rigidity for Maximal Representations

Zhufeng Yao

Let $Γ \subset PSL (2, R)$ be a lattice and $ρ : Γ \to Sp (2 n, R)$ be a maximal representation. We show that $ρ$ satisfies a measurable $(1, 1, 2) -$ hypert…

math.DG2025

Critical Exponent Rigidity for $Θ -$ positive Representations

Zhufeng Yao

We prove for a $Θ -$ positive representation from a discrete subgroup $Γ \subset PSL (2, R)$ , the critical exponent for any $α \in Θ$ is not greater than one. When $Γ$ …

Hausdorff Dimension of Anosov Subgroups' Limit Sets with Special Self-Affine Complexity

Entropy Rigidity for Maximal Representations

Critical Exponent Rigidity for Θ−positive Representations

Critical Exponent Rigidity for $Θ -$ positive Representations