Research

Here are my latest preprints.

  • Combinatorial proofs of multivariate Cayley–Hamilton theorems
    by 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 $2k$ matrices, of which $k$ commute pairwise. The second one regards the mixed discriminant, a matrix function which has generated a lot of interest in recent times. Recently, the Cayley–Hamilton theorem for mixed […]