Work

Pointwise Hölder continuity of Lyapunov exponents of random matrix products

Year: 2026

Type: preprint

Abstract: We prove that if the first Lyapunov exponent of a compactly supported random matrix product is simple, then it is pointwise Hölder continuous for the Wasserstein--Hausdorff distance. By passing to exterior powers, we obtain pointwise Hölder continuity of the first $k$ exponents whenever they are simple.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.12698

Author: Barrientos, Pablo G.

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico

Award: G7788968503

OpenAlex ID: W7221547926

Cites: 2

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Related to: 10