# Exact sampling of corrugated surfaces

Sergio Caracciolo,
Enrico Rinaldi,
Andrea Sportiello

Feb 2009

### 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.

Publication

*Journal of Statistical Mechanics: Theory and Experiment*

###### Research Scientist

My research interests include artificial intelligence and quantum computing applied to particle physics and quantum many-body systems.