Daisy Models: Semi-Poisson statistics and beyond
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
Semi-Poisson statistics are shown to be obtained by removing every other number from a random sequence. Retaining every (r+1)th level we obtain a family of secuences which we call daisy models. Their statistical properties coincide with those of Bogomolny's nearest-neighbour interaction Coulomb gas if the inverse temperature coincides with the integer r. In particular the case r=2 reproduces closely the statistics of quasi-optimal solutions of the traveling salesman problem.
Cite
@article{arxiv.chao-dyn/9903022,
title = {Daisy Models: Semi-Poisson statistics and beyond},
author = {H. Hernandez-Saldaña and J. Flores and T. H. Seligman},
journal= {arXiv preprint arXiv:chao-dyn/9903022},
year = {2009}
}
Comments
4 pages,5 figures