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A Markov representation of Perron-Frobenius eigenvector for infinite non-negative matrix and Metzler-matrix

Published 29 Jul 2024 in math.PR | (2407.19964v1)

Abstract: We will represent the so-called Perron-Frobenius eigenvector (if exists) for infinite non-negative matrix $A$ and Metzler matrix by using its corresponding Markov chain with probability transition function.

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