MULTIDIMENSIONAL SAMPLING FOR SIMULATION AND INTEGRATION - MEASURES, DISCREPANCIES, AND QUASI-RANDOM NUMBERS

This is basically a review of the field of Quasi-Monte Carlo intended for computational physicists and other potential users of quasi-random numbers. As such, much of the material is not new, but is presented h ere in a style hopefully more accessible to physicists than the specia lized mathematical literature. There are also some new results: on the practical side we give important empirical properties of large quasi- random point sets, especially the exact quadratic discrepancies; on th e theoretical side, there is the exact distribution of quadratic discr epancy for random paint sets.