68 citations · 320 across the 33 of their papers we have counts for
34 papers
Multi-type branching diffusions with small mutation rates
Conrad J. Burden
Approximate solutions are found for Feller-like neutral multi-type branching diffusions $\big{(}\mathbf{X}(t)\big{)}_{t \in \mathbb{R}_{\ge 0}}$ in the limit of small mutation rate…
The Feller diffusion as the limit of a coalescent point process
Conrad J. Burden, Robert C. Griffiths
The Feller diffusion is studied as the limit of a coalescent point process in which the density of the node height distribution is skewed towards zero. Using a unified approach, a…
The Feller diffusion conditioned on a single ancestral founder
Conrad J. Burden, Robert C. Griffiths
We examine the distributional properties of a Feller diffusion conditioned on the current population having a single ancestor at time zero. The approa…
Computing expected moments of the Rényi parking problem on the circle
Markus Hegland, Conrad J. Burden, Zbigniew Stachurski
A highly accurate and efficient method to compute the expected values of the count, sum, and squared norm of the sum of the centre vectors of a random maximal sized collection of n…
Coalescence and sampling distributions for Feller diffusions
Conrad J. Burden, Robert C. Griffiths
Consider the diffusion process defined by the forward equation for and , with an…
The stationary and quasi-stationary properties of neutral multi-type branching process diffusions
Conrad J. Burden, Robert C. Griffiths
The stationary asymptotic properties of the diffusion limit of a multi-type branching process with neutral mutations are studied. For the critical and subcritical processes the int…