2 citations · 2 across the 7 of their papers we have counts for
7 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 sub-stochastic matrices
Michael Baake, Kiah Swinsburg
The classic embedding problem for finite-dimensional Markov matrices has a natural counterpart for sub-stochastic matrices, which is analysed and discussed here. One necessary and…
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…
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…