1 citations · 1 across the 6 of their papers we have counts for
9 papers
Most probable escape paths in perturbed gradient systems
Katherine Slyman, Mackenzie Simper, John A. Gemmer +1
Stochastic systems are used to model a variety of phenomena in which noise plays an essential role. In these models, one potential goal is to determine if noise can induce transiti…
Random Transpositions on Contingency Tables
Mackenzie Simper
Contingency tables are useful objects in statistics for representing 2-way data. With fixed row and column sums, and a total of entries, contingency tables correspond to parabo…
Double Coset Markov Chains
Persi Diaconis, Arun Ram, Mackenzie Simper
Let be a finite group. Let be subgroups of and the double coset space. Let be a probability on which is constant on conjugacy classes ($…
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…
Random Additions in Urns of Integers
Mackenzie Simper
Consider an urn containing balls labeled with integer values. Define a discrete-time random process by drawing two balls, one at a time and with replacement, and noting the labels.…
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…
Bak-Sneppen Backwards
Tom Alberts, Ga Yeong Lee, Mackenzie Simper
We study the backwards Markov chain for the Bak-Sneppen model of biological evolution and derive its corresponding reversibility equations. We show that, in contrast to the forward…