22 citations · 78 across the 19 of their papers we have counts for
17 papers · 1 filter
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…