2 papers
math.CO2026
Quantized rational chip-firing
Spencer Backman, Nicholas A. Loehr, Gregory S. Warrington
This article introduces a quantized chip-firing model with close connections to the theory of rational lattice paths and rational parking functions. Given a graph with a sink and p…
math.CO2025
A local framework for proving combinatorial matrix inversion theorems
Aditya Khanna, Nicholas A. Loehr
Combinatorial transition matrices arise frequently in the theory of symmetric functions and their generalizations. The entries of such matrices often count signed, weighted combina…