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math.PR2020
An adjacent-swap Markov chain on coalescent trees
Mackenzie Simper, Julia A. Palacios
The standard coalescent is widely used in evolutionary biology and population genetics to model the ancestral history of a sample of molecular sequences as a rooted and ranked bina…
math.PR2020
The q-voter model on the torus
Pooja Agarwal, Mackenzie Simper, Rick Durrett
In the -voter model, the voter at changes its opinion at rate , where is the fraction of neighbors with the opposite opinion. Mean-field calculations suggest th…