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Lie-Markov models derived from finite semigroups
journal contribution
posted on 2023-05-19, 20:21 authored by Jeremy SumnerJeremy Sumner, Woodhams, MDWe present and explore a general method for deriving a Lie-Markov model from a finite semigroup. If the degree of the semigroup is k, the resulting model is a continuous-time Markov chain on k-states and, as a consequence of the product rule in the semigroup, satisfies the property of multiplicative closure. This means that the product of any two probability substitution matrices taken from the model produces another substitution matrix also in the model. We show that our construction is a natural generalization of the concept of group-based models.
Funding
Australian Research Council
History
Publication title
Bulletin of Mathematical BiologyVolume
81Pagination
361-383ISSN
0092-8240Department/School
School of Natural SciencesPublisher
Academic Press Ltd Elsevier Science LtdPlace of publication
24-28 Oval Rd, London, England, Nw1 7DxRights statement
Copyright 2018 Society for Mathematical BiologyRepository Status
- Restricted