1 citations · 1 across the 1 of their papers we have counts for
4 papers
Sublinear variance in Euclidean first-passage percolation
Megan Bernstein, Michael Damron, Torin Greenwood
The Euclidean first-passage percolation model of Howard and Newman is a rotationally invariant percolation model built on a Poisson point process. It is known that the passage time…
Algebraic Voting Theory & Representations of
Hélène Barcelo, Megan Bernstein, Sarah Bockting-Conrad +3
We consider the problem of selecting an -member committee made up of one of candidates from each of distinct departments. Using an algebraic approach, we analyze positio…
Cutoff for biased transpositions
Megan Bernstein, Nayantara Bhatnagar, Igor Pak
In this paper we study the mixing time of a biased transpositions shuffle on a set of cards with cards of two types. For a parameter , one type of card is chos…
A random walk on the symmetric group generated by random involutions
Megan Bernstein
The involution walk is the random walk on generated by involutions with a binomially distributed with parameter number of -cycles. This is a parallelization of the t…