7 citations · 7 across the 2 of their papers we have counts for
2 papers
math.CO2011
Contingency tables with uniformly bounded entries
Austin Shapiro
We consider nonnegative integer matrices with specified row and column sums and upper bounds on the entries. We show that the logarithm of the number of such matrices is approximat…
math.CO2010★ 7 cited
Bounds on the number of integer points in a polytope via concentration estimates
Austin Shapiro
It is generally hard to count, or even estimate, how many integer points lie in a polytope P. Barvinok and Hartigan have approached the problem by way of information theory, showin…