English

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

Probability 2024-07-30 v1

Abstract

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

Keywords

Cite

@article{arxiv.2407.19964,
  title  = {A Markov representation of Perron-Frobenius eigenvector for infinite non-negative matrix and Metzler-matrix},
  author = {Qian Du and Yong-Hua Mao},
  journal= {arXiv preprint arXiv:2407.19964},
  year   = {2024}
}