Matt McClinton

activity

20232026

collaborators

5 papers

math.CO2026

On the $q$ -multiplicity of sums of distinct simple roots of $sl_{r + 1} (C)$

Matt McClinton

In combinatorial representation theory, Kostant's weight multiplicity formula $m (λ, μ)$ is a tool that provides a means of determining the multiplicity of a weight $μ$ in the adjoin…

math.CO2026

Counting $ℓ$ -interval Fubini rankings through their parking outcome

Bjorn Andreas Ager-Hart, Melissa Beerbower, Pamela E. Harris +2

Fubini rankings with $n$ competitors are $n$ -tuples with entries in $[n] = {1, 2, 3, \dots, n}$ that encode the conclusion of a race that allows ties. Since Fubini rankings are parki…

math.CO2024

Metered Parking Functions

Spencer Daugherty, Pamela E. Harris, Ian Klein +1

We introduce a generalization of parking functions called $t$ -metered $(m, n)$ -parking functions, in which one of $m$ cars parks among $n$ spots per hour then leaves after $t$ hours…

math.CO2024

Enumerating runs, valleys, and peaks in Catalan words

Jean-Luc Baril, Pamela E. Harris, Kimberly J. Harry +2

We provide generating functions, formulas, and asymptotic expressions for the number of Catalan words based on the number of runs of ascents (descents), runs of weak ascents (desce…

math.CO2023

On some discrete statistics of parking functions

Ari Cruz, Pamela E. Harris, Kimberly J. Harry +5

Recall that $α = (a_{1}, a_{2}, \dots, a_{n}) \in [n]^{n}$ is a parking function if its nondecreasing rearrangement $β = (b_{1}, b_{2}, \dots, b_{n})$ satisfies $b_{i} \leq i$ for all $1 \leq i \leq n$ . In thi…

On the q-multiplicity of sums of distinct simple roots of slr+1​(C)

Counting ℓ-interval Fubini rankings through their parking outcome

Metered Parking Functions

Enumerating runs, valleys, and peaks in Catalan words

On some discrete statistics of parking functions

On the $q$ -multiplicity of sums of distinct simple roots of $sl_{r + 1} (C)$

Counting $ℓ$ -interval Fubini rankings through their parking outcome