The joint spectral radius is pointwise H\"older continuous
Dynamical Systems
2025-02-26 v2 Optimization and Control
Spectral Theory
Abstract
We show that the joint spectral radius is pointwise H\"older continuous. In addition, the joint spectral radius is locally H\"older continuous for -inflations. In the two-dimensional case, local H\"older continuity holds on the matrix sets with positive joint spectral radius.
Keywords
Cite
@article{arxiv.2311.18633,
title = {The joint spectral radius is pointwise H\"older continuous},
author = {Jeremias Epperlein and Fabian Wirth},
journal= {arXiv preprint arXiv:2311.18633},
year = {2025}
}
Comments
37 pages. Some typos and a small mistake in the proof of Proposition 13 fixed