4 papers
Statistical Enumeration of Groups by Double Cosets
Persi Diaconis, Mackenzie Simper
Let and be subgroups of a finite group . Pick uniformly at random. We study the distribution induced on double cosets. Three examples are treated in detail: 1)…
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…
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…
Busemann functions and semi-infinite O'Connell-Yor polymers
Tom Alberts, Firas Rassoul-Agha, Mackenzie Simper
We prove that given any fixed asymptotic velocity, the finite length O'Connell-Yor polymer has an infinite length limit satisfying the law of large numbers with this velocity. By a…