Alexander Barvinok
Published 2010-10-27Version 1
This is a survey of the recent progress and open questions on the structure of the sets of 0-1 and non-negative integer matrices with prescribed row and column sums. We discuss cardinality estimates, the structure of a random matrix from the set, discrete versions of the Brunn-Minkowski inequality and the statistical dependence between row and column sums.
An asymptotic formula for the number of non-negative integer matrices with prescribed row and column sums
On the number of matrices and a random matrix with prescribed row and column sums and 0-1 entries
What does a random contingency table look like?
![QR code for arXiv:1010.5706 [math.CO]](http://oss.arxitics.com/images/favicon.svg)