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

A probabilistic proof of Perron's theorem

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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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