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Article Abstract
The embedding problem of Markov matrices in Markov semigroups is a classic problem that regained a lot of impetus and activities through recent needs in phylogeny and population genetics. Here, we give an account for dimensions , including a complete and simplified treatment of the case , and derive the results in a systematic fashion, with an eye on the potential applications. Further, we reconsider the setup of the corresponding problem for time-inhomogeneous Markov chains, which is needed for real-world applications because transition rates need not be constant over time. Additional cases of this more general embedding occur for any . We review the known case of and describe the setting for future work on .
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11607033 | PMC |
| http://dx.doi.org/10.1007/s00285-024-02112-w | DOI Listing |
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