Pointwise Hölder continuity of Lyapunov exponents of random matrix products
arXiv:2610.12698
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 exponents whenever they are simple.