Exact sampling of corrugated surfaces

Details Exact sampling of corrugated surfaces Exact sampling of corrugated surfaces

2008-10-15

arxiv.org/abs/0810.2660v1

J. Stat. Mech. (2009) P02049

Physics

Condensed Matter

Statistical Mechanics

7 pages

Scientific paper

10.1088/1742-5468/2009/02/P02049

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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