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Pointwise Hölder continuity of Lyapunov exponents of random matrix products
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.
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BibTeX
@misc{barrientos2026pointwise,
title = {{Pointwise Hölder continuity of Lyapunov exponents of random matrix products}},
author = {Pablo G. Barrientos},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.12698},
eprint = {2610.12698},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.12698},
}
RIS
TY - UNPB
TI - Pointwise Hölder continuity of Lyapunov exponents of random matrix products
AU - Pablo G. Barrientos
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.12698
UR - https://arxiv.org/abs/2610.12698
AB - 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.
ER -