3 papers
math.CO2026
On the distributions of the statistics (des, maj, inv) over several classes of permutations
Guo-Niu Han, Kathy Q. Ji, Huan Xiong
We investigate the joint distribution of the trivariate statistics (des, maj, inv) on classical permutations, Andre permutations of the first and second kinds, and Simsun permutati…
math.CO2026
Modular Nahm sums for symmetrizable matrices of indices and
Julia Q. D. Du, Kathy Q. Ji, Erin Y. Y. Shen +1
In this paper, we present three families of modular Nahm sums for symmetrizable matrices with arbitrary rank of indices and . Speci…
math.CO2025
Inverse descent statistic for André and simsun permutations
Guo-Niu Han, Kathy Q. Ji, Huan Xiong
Simsun permutations, André I permutations and André II permutations are three combinatorial models for Euler numbers. It's known that the descent statistic is equidistributed over…