Singular statistics

被引：41

作者：

Bogomolny, E

Gerland, U

Schmit, C

机构：

[1] Univ Paris 11, Unite Rech, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France

[2] Univ Paris 11, CNRS, UMR 8626, F-91405 Orsay, France

[3] Univ Calif San Diego, Dept Phys, La Jolla, CA 92093 USA

来源：

PHYSICAL REVIEW E | 2001年 / 63卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.63.036206

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

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 two-point correlation function. This problem naturally appears in, e.g., rank-1 perturbation of an integrable Hamiltonian and, in particular, when a delta -function potential is added to an integrable billiard.

引用

页数：16

共 16 条

[1]

Albeverio S., 1988, Solvable Models in Quantum Mechanics

[2]

Bateman H., 1953, Higher transcendental functions, VII

[3] CALCULATING BOUND SPECTRUM BY PATH SUMMATION IN ACTION-ANGLE VARIABLES [J].