3 papers
math.PR2026
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…
math.PR2025
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…
math.PR2024
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…