Abstract
Ultrametric and GUM matrices can be seen as the potential matrices of Markov chains on finite state spaces. In this chapter we study the connections of these chains and emphasize the characterization of roots, which are those points where there is a loss of mass. This is equivalent to studying the incidence graph for the inverse matrix. The main notions and results of this chapter are based on [20] for the ultrametric case and [22] for the GUM case.
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References
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Dellacherie, C., Martinez, S., San Martin, J. (2014). Graph of Ultrametric Type Matrices. In: Inverse M-Matrices and Ultrametric Matrices. Lecture Notes in Mathematics, vol 2118. Springer, Cham. https://doi.org/10.1007/978-3-319-10298-6_4
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DOI: https://doi.org/10.1007/978-3-319-10298-6_4
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Online ISBN: 978-3-319-10298-6
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