Singular statistics
混沌动力学
2009-10-31 v1
摘要
We consider the statistical distribution of zeros of random meromorphic functions whose poles are independent random variables. It is demonstrated that correlation functions of these zeros can be computed analytically and explicit calculations are performed for the 2-point correlation function. This problem naturally appears in e.g. rank-one perturbation of an integrable Hamiltonian and, in particular, when a -function potential is added to an integrable billiard.
引用
@article{arxiv.nlin/0012003,
title = {Singular statistics},
author = {E. Bogomolny and U. Gerland and C. Schmit},
journal= {arXiv preprint arXiv:nlin/0012003},
year = {2009}
}
备注
32 pages, 4 figures, submitted to Phys. Rev. E, 2000