William Q. Erickson

collaborators

4 papers

math.CO2025

Palindromicity of the numerator of a statistical generating function

Rebecca Bourn, William Q. Erickson

We prove a conjecture of Bourn and Willenbring (2020) regarding the palindromicity and unimodality of a certain family of polynomials $N_{n} (t)$ . These recursively defined polynomial…

math.CO2025

Dimension identities, almost self-conjugate partitions, and BGG complexes for Hermitian symmetric pairs

William Q. Erickson, Markus Hunziker

An almost self-conjugate (ASC) partition has a Young diagram in which each arm along the diagonal is exactly one box longer than its corresponding leg. Classically, the ASC partiti…

math.CO2025

Homometric subsets of $Z_{n}$ with cardinality 5: classification and enumeration

William Q. Erickson, Nicholas B. Jones

Two subsets of $Z_{n}$ are said to be homometric if they have the same multiset of pairwise cyclic (i.e., Lee) distances. Homometric subsets necessarily have the same cardin…

math.ST2024

Expected value and a Cayley-Menger type formula for the generalized earth mover's distance

William Q. Erickson

The earth mover's distance (EMD), also known as the 1-Wasserstein metric, measures the minimum amount of work required to transform one probability distribution into another. The E…

Palindromicity of the numerator of a statistical generating function

Dimension identities, almost self-conjugate partitions, and BGG complexes for Hermitian symmetric pairs

Homometric subsets of Zn​ with cardinality 5: classification and enumeration

Expected value and a Cayley-Menger type formula for the generalized earth mover's distance

Homometric subsets of $Z_{n}$ with cardinality 5: classification and enumeration