4 papers
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…
An alternative recursive approach to functions of simple triangular matrices
Ellen Baake, Michael Baake
The computation of matrix functions is a well-studied problem. Of special importance are the exponential and the logarithm of a matrix, where the latter also raises existence and u…
A multiple coupon collection process and its Markov embedding structure
Ellen Baake, Michael Baake
The embedding problem of Markov transition matrices into continuous-time Markov semigroups is a classic problem that regained a lot of impetus and activities in recent years. We co…