English

A fast algorithm for generating a uniform distribution inside a high-dimensional polytope

Computational Physics 2009-11-06 v3 High Energy Physics - Phenomenology

Abstract

We describe a uniformly fast algorithm for generating points \vec{x} uniformly in a hypercube with the restriction that the difference between each pair of coordinates is bounded. We discuss the quality of the algorithm in the sense of its usage of pseudo-random source numbers, and present an interesting result on the correlation between the coordinates.

Keywords

Cite

@article{arxiv.physics/0003078,
  title  = {A fast algorithm for generating a uniform distribution inside a high-dimensional polytope},
  author = {A. van Hameren and R. Kleiss},
  journal= {arXiv preprint arXiv:physics/0003078},
  year   = {2009}
}

Comments

7 pages, cpu-time table added to illustrate efficiency