Journal de l’École polytechnique — Mathématiques· 2026Q1
Lyapunov exponents and stability properties of higher rank representations
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- Q1SCImago
- 2026year
Short summary
Proximal stability for families of group representations is equivalent to the pluriharmonicity of their Lyapunov exponents.
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Key points
- Introduces proximal stability for holomorphic families of representations Γ → SL(d, ℂ).
- Shows proximal stability is equivalent to pluriharmonicity of Lyapunov exponents.
- Lyapunov exponents are defined using random walks on the group.
AI-generated from the title and abstract; the full text is not read.
Abstract
For a holomorphic family ( ρ λ ) of representations Γ → SL ( d , ℂ ) , where Γ is a finitely generated group, we introduce the notion of proximal stability and show that it is equivalent to the pluriharmonicity of Lyapunov exponents of the family, defined using random walks.
The authors' abstract, as published at the source. Journal de l’École polytechnique — Mathématiques, 2026 · DOI ↗
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Field: Mathematical Physics
Mathematical PhysicsMathematics