A probabilistic proof of Perron's theorem
Probability
2020-01-03 v2
Abstract
We present an alternative proof of Perron's theorem, which is probabilistic in nature. It rests on the representation of the Perron eigenvector as a functional of the trajectory of an auxiliary Markov chain.
Cite
@article{arxiv.1801.05252,
title = {A probabilistic proof of Perron's theorem},
author = {Raphaël Cerf and Joseba Dalmau},
journal= {arXiv preprint arXiv:1801.05252},
year = {2020}
}
Comments
This is a minor improvement of the first version, some typos and imprecisions are corrected