Dongyang Liu

Uniform eventual domination of permanents of doubly stochastic matrix powers

For every positive integer n, this preprint proves the existence of an integer K(n) >= 2 such that per(A^k) <= per(A) for every real n x n doubly stochastic matrix A and every integer k >= K(n). Powers use ordinary matrix multiplication. The exponent is uniform over the whole dou...

Uniform eventual domination of permanents of doubly stochastic matrix powers

For every positive integer n, this preprint proves the existence of an integer K(n) >= 2 such that per(A^k) <= per(A) for every real n x n doubly stochastic matrix A and every integer k >= K(n). Powers use ordinary matrix multiplication. The exponent is uniform over the whole dou...