3 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
Inference on the History of a Randomly Growing Tree
Harry Crane, Min Xu
The spread of infectious disease in a human community or the proliferation of fake news on social media can be modeled as a randomly growing tree-shaped graph. The history of the r…
The structure of combinatorial Markov processes
Harry Crane, Henry Towsner
Every exchangeable Feller process taking values in a suitably nice combinatorial state space can be constructed by a system of iterated random Lipschitz functions. In discrete time…
Convergence Rates of Markov Chains on Spaces of Partitions
Harry Crane, Steven P. Lalley
We study the convergence rate to stationarity for a class of exchangeable partition-valued Markov chains called cut-and-paste chains. The law governing the transitions of a cut-and…
A consistent Markov partition process generated from the paintbox process
Harry Crane
We study a family of Markov processes on , the space of partitions of the natural numbers with at most blocks. The process can be constructed from a Poisson…