66 citations · 664 across the 84 of their papers we have counts for
4 papers · 2 filters
Combinatorial proofs of multivariate Cayley--Hamilton theorems
Arvind Ayyer, Naren Sundaravaradan
We give combinatorial proofs of two multivariate Cayley--Hamilton type theorems. The first one is due to Phillips (Amer. J. Math., 1919) involving matrices, of which commu…
Factorization of classical characters twisted by roots of unity
Arvind Ayyer, Nishu Kumari
For a fixed integer , we consider the irreducible characters of representations of the classical groups of types A, B, C and D, namely $\text{GL}_{tn}, \text{SO}_{2tn+1},…
Toppling on permutations with an extra chip
Arvind Ayyer, Beáta Bényi
The study of toppling on permutations with an extra labeled chip was initiated by the first author with D. Hathcock and P. Tetali (arXiv:2010.11236), where the extra chip was added…
Combinatorics of a disordered two-species ASEP on a torus
Arvind Ayyer, Philippe Nadeau
We define a new disordered asymmetric simple exclusion process (ASEP) with two species of particles, first-class particles labelled and second-class particles labelled ${…