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

Qian Du; Yong-Hua Mao

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arXiv · 2407.19964

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

Qian Du·Yong-Hua Mao

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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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Qian Du, Yong-Hua Mao. 2024-07-29. A Markov representation of Perron-Frobenius eigenvector for infinite non-negative matrix and Metzler-matrix. https://arxiv.org/abs/2407.19964

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