论文标题
Lyapunov指数和较高等级表示的稳定性
Lyapunov exponents and stability properties of higher rank representations
论文作者
论文摘要
概括deroin-dujardin的概括结果，我们介绍了一个圆形系列的近端稳定性概念（ρ_λ）$ $γ\ to \ text {sl}（d，\ mathbb {c}）$，在$γ$中，$γ$在$ quarihen的情况下表明了一个有一定的生成群体，并且表明了plirap的限制。使用随机步行）。
Generalizing results of Deroin-Dujardin, we introduce the notion of proximal stability for a holomorphic family $ (ρ_λ) $ of representations $ Γ\to \text{SL}(d, \mathbb{C}) $, where $ Γ$ is a finitely generated group, and show that it is equivalent to the pluriharmonicity of Lyapunov exponents of the family (defined using random walks).
