4 papers
The geometry of inconvenience and perverse equilibria in trade networks
Michael Coopman, Austin Jacobs, Henry Pascoe +1
The structure bilateral trading costs is one of the key features of international trade. Drawing upon the freeness-of-trade matrix, which allows the modeling of N-state trade costs…
Major Index Distribution
Michael Coopman
For , let be the distribution on the symmetric group such that a permutation is selected with probability proportional to . The distributi…
An equidistribution involving invisible inversions
Michael Coopman, Martin Rubey
We provide two explicit bijections demonstrating that, among permutations, the number of invisible inversions is equidistributed with the number of occurrences of the vincular patt…
Involutions under Bruhat order and labeled Motzkin Paths
Michael Coopman, Zachary Hamaker
In this note, we introduce a statistic on Motzkin paths that describes the rank generating function of Bruhat order for involutions. Our proof relies on a bijection introduced by P…