Abstract
We discuss an algorithm for the exact sampling of vectors v in 0,1^N
satisfying a set of pairwise difference inequalities. Applications include the
exact sampling of skew Young Tableaux, of configurations in the Bead Model, and
of corrugated surfaces on a graph, that is random landscapes in which at each
vertex corresponds a local maximum or minimum. As an example, we numerically
evaluate with high-precision the number of corrugated surfaces on the square
lattice. After an extrapolation to the thermodynamic limit, controlled by an
exact formula, we put into evidence a discrepancy with previous numerical
results.
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