66 citations · 129 across the 23 of their papers we have counts for
Showing 2011 · math.PRShow all
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math.PR2011★ 18 cited
Catalytic branching processes via spine techniques and renewal theory
Leif Doering, Matthew I. Roberts
In this article we contribute to the moment analysis of branching processes in catalytic media. The many-to-few lemma based on the spine technique is used to derive a system of (di…
math.PR2011★ 66 cited
A simple path to asymptotics for the frontier of a branching Brownian motion
Matthew I. Roberts
We give short proofs of two classical results about the position of the extremal particle in a branching Brownian motion, one concerning the median position and another the almost…
math.PR2011
The many-to-few lemma and multiple spines
Simon C. Harris, Matthew I. Roberts
We develop a simple and intuitive identity for calculating expectations of weighted -fold sums over particles in branching processes, generalising the well-known many-to-one lem…