Zhufeng Yao

collaborators

3 papers

math.DG2026

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

Zhufeng Yao

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

math.DG2026

Critical Exponent Rigidity for $I^ -$ positive Representations

Zhufeng Yao

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

math.DG2026

Entropy Rigidity for Maximal Representations

Zhufeng Yao

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

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

Critical Exponent Rigidity for I^−positive Representations

Entropy Rigidity for Maximal Representations

Critical Exponent Rigidity for $I^ -$ positive Representations