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SUMMARY:Kolloquium: Michael Baake (Universität Bielefeld): The Markov
  embedding problem revisited (from an algebraic perspective)
UID:1c624f1b-c465-411f-9c2a-afb68ac9c27a
DESCRIPTION:The Markov embedding problem revisited (from an algebraic 
 perspective) &#8211\; Vortragender: Michael Baake\, Universität Biele
 feld &#8211\; Einladender: C. Richard It is an old question whether a 
 given Markov matrix can occur in a Markov semigroup\, which became qui
 te famous through a foundational paper by Kingman from 1962. Apart fro
 m some general characterisations (which are rarely useful in practice)
 \, a complete answer was given for 3&#215\;3 matrices by the mid 1990s
 \, both for the homogeneous and the inhomogeneous case\, after which t
 he interest in it faded due to lack of applications. This changed with
  the rise of bioinformatics and the study of stochastic processes on t
 he basis of the nucleotide alphabet (A\, G\,C\,T)\, which at least req
 uires an answer for 4&#215\;4 matrices\, which was given only recently
 . In this talk\, the problem will be reviewed\, and some of the recent
  progress discussed\, with focus on practically useful results and on 
 the underlying algebraic structure.
DTSTART:20230502T143000Z
DTEND:20230502T153000Z
LOCATION:HS H13\, Cauerstr. 11\, Erlangen
DTSTAMP:20260731T054239Z
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