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math.PR2023
A universal right tail upper bound for supercritical Galton-Watson processes with bounded offspring
John Fernley, Emmanuel Jacob
We consider a supercritical Galton-Watson process whose offspring distribution has mean and is bounded by some . As well-known, the associated mart…
math.PR2022
Discursive Voter Models on the Supercritical Scale-Free Network
John Fernley
The voter model is a classical interacting particle system, modelling how global consensus is formed by local imitation. We analyse the time to consensus for a particular family of…