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math.PR2026
Genealogical processes of sequential Monte Carlo methods and other non-neutral population models under rapid mutation
Jere Koskela, Paul A. Jenkins, Adam M. Johansen +1
We show that genealogical trees arising from a broad class of non-neutral models of population evolution converge to the Kingman coalescent under a suitable rescaling of time. As w…
math.PR2026
On the Coalescence Time Distribution in Multi-type Supercritical Branching Processes
Janique Krasnowska, Paul Jenkins, Adam Johansen
Consider a population evolving as a discrete-time supercritical multi-type Galton--Watson process. Suppose we run the process for generations, then sample individuals unifo…
math.PR2024
A calculus for Markov chain Monte Carlo: studying approximations in algorithms
Rocco Caprio, Adam M. Johansen
Markov chain Monte Carlo (MCMC) algorithms are based on the construction of a Markov chain with transition probabilities leaving invariant a probability distribution of interest. I…