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A probabilistic proof of Perron's theorem

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arxiv 1801.05252 v2 pith:CI4GC3XA submitted 2018-01-16 math.PR

Raphaël Cerf , Joseba Dalmau This is my paper · ORCID
classification math.PR
keywords perronprobabilisticprooftheoremalternativeauxiliarychaineigenvector
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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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