22 citations · 78 across the 19 of their papers we have counts for
23 papers
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…
A class of non-reversible hypercube long-range random walks and Bernoulli autoregression
Andrea Collevecchio, Robert C. Griffiths
We study a large class of long-range random walks which take values on the vertices of an N dimensional hypercube. These processes are connected with multivariate Bernoulli autoreg…
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…
Dual process in the two-parameter Poisson-Dirichlet diffusion
Robert C. Griffiths, Matteo Ruggiero, Dario Spanò +1
The two-parameter Poisson-Dirichlet diffusion takes values in the infinite ordered simplex and extends the celebrated infinitely-many-neutral-alleles model, having a two-parameter…
Three steps mixing for general random walks on the hypercube at criticality
Andrea Collevecchio, Robert Griffiths
We introduce a general class of random walks on the -hypercube, study cut-off for the mixing time, and provide several types of representation for the transition probabilities.…
Matching marginals and sums
Robert Griffiths, Kais Hamza
For a given set of random variables we seek as large a family as possible of random variables such that the marginal laws and the laws of the sums…