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math.CO1998
On the volume of a certain polytope
Clara S. Chan, David P. Robbins, David S. Yuen
Let n >= 2 be an integer and consider the set T_n of n by n permutation matrices pi for which pi_{ij}=0 for j>=i+2. In this paper we study the convex hull of T_n, which we denote b…
math.CO1998
On the volume of the polytope of doubly stochastic matrices
Clara S. Chan, David P. Robbins
We study the calculation of the volume of the polytope B_n of n by n doubly stochastic matrices; that is, the set of real non-negative matrices with all row and column sums equal t…
math.CO1998
An Application of Okada's Minor Summation Formula
David P. Robbins
Noam Elkies and Everett Howe independently noticed a certain elegant product formula for the multiple integral \int_R \prod_{1 \le i < j \le k} (x_j-x_i) dx_1 \cdots dx_k, where th…