2 papers
math.CO2026
The Area Asymptotics of -Dyck Paths
Evan Conway, James Harbour
We study the total and average area of -Dyck paths: lattice paths from to that stay weakly below the line , counted by the Fuss-Catalan numbers. Gene…
math.OA2025
Discrete measured groupoid von Neumann algebras via the Gaussian deformation
Felipe Flores, James Harbour
Given a discrete measured groupoid , we study properties of the corresponding von Neumann algebra using the techniques of Popa's deformation/rigidity…