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.
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%0 Journal Article
%1 cerf2018probabilistic
%A Cerf, Raphaël
%A Dalmau, Joseba
%D 2018
%K joli
%T A probabilistic proof of Perron's theorem
%U http://arxiv.org/abs/1801.05252
%X 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.
@article{cerf2018probabilistic,
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.},
added-at = {2018-01-17T23:02:31.000+0100},
author = {Cerf, Raphaël and Dalmau, Joseba},
biburl = {https://www.bibsonomy.org/bibtex/2747a8ca6491ac795978dc2413feb26f3/claired},
description = {A probabilistic proof of Perron's theorem},
interhash = {db6f8549c1bd2587dddf7a8c4c082ecf},
intrahash = {747a8ca6491ac795978dc2413feb26f3},
keywords = {joli},
note = {cite arxiv:1801.05252},
timestamp = {2018-01-17T23:02:31.000+0100},
title = {A probabilistic proof of Perron's theorem},
url = {http://arxiv.org/abs/1801.05252},
year = 2018
}