4 papers · 1 filter
Recombination in discrete and continuous time from the viewpoint of Markov embedding
Ellen Baake, Michael Baake, Jeremy Sumner
The classic recombination equation, both in discrete and in continuous time, can be solved in a way that derives from the Markov chain of a partitioning process. Here, we revisit t…
Embedding of reversible Markov matrices
Ellen Baake, Michael Baake, Jeremy Sumner
The embeddability of reversible Markov matrices into time-homogeneous Markov semigroups is revisited, with some focus on simplifications and extensions. In particular, we do not de…
On the algebra of equal-input matrices in time-inhomogeneous Markov flows
Michael Baake, Jeremy Sumner
Markov matrices of equal-input type constitute a widely used model class. The corresponding equal-input generators span an interesting subalgebra of the real matrices with zero row…
Embedding of Markov matrices for
Michael Baake, Jeremy Sumner
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 ge…