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Abstract

The representation problem of finite-dimensional Markov matrices in Markov semigroups is revisited, with emphasis on concrete criteria for matrix subclasses of theoretical or practical relevance, such as equal-input, circulant, symmetric or doubly stochastic matrices. Here, we pay special attention to various algebraic properties of the embedding problem, and discuss the connection with the centraliser of a Markov matrix.

Item Type:	Article
Authors/Creators:	Baake, M and Sumner, J
Keywords:	Markov matrix, embedding problem, semigroup, centraliser
Journal or Publication Title:	Linear Algebra and Its Applications
Publisher:	Elsevier Science Inc
ISSN:	0024-3795
DOI / ID Number:	10.1016/j.laa.2020.02.016
Copyright Information:	Copyright 2020 Elsevier Inc
Related URLs:	Google Scholar: Sumner, J UTAS Profile: Sumner, J
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