2 papers
math.CO2025
Enumeration and Asymptotic Formulas for Rectangular Partitions of the Hypercube
Yu Hin Au, Fatemeh Bagherzadeh, Murray R. Bremner
We study a two-parameter generalization of the Catalan numbers: is the number of ways to subdivide the -dimensional hypercube into rectangular blocks using orth…
math.RA2025
Poisson triple systems
Murray Bremner, Hader Elgendy
We introduce Poisson triple systems, which are vector spaces with 3 trilinear operations satisfying 9 polynomial identities of degree 5. We show that every Poisson triple system ha…