In the current application of MCMC to estimating the permanent of a matrix, there is a twist, which is that the Markov chain itself is arrived at via a stochastic process! Although efficient in a ...

Tuong Ton-That, Lie Group Representations and Harmonic Polynomials of a Matrix Variable, Transactions of the American Mathematical Society, Vol. 216 (Feb., 1976), pp. 1-46 ...

We present criteria for determining irreducibility of reciprocal polynomials over the field of rational numbers. We also obtain some combinatorial results concerning the irreducibility of reciprocal ...