ALGEBRAIC AREAS ENCLOSED BY BROWNIAN CURVES ON BOUNDED DOMAINS

被引：12

作者：

DESBOIS, J

COMTET, A

机构：

[1] Div. de Phys. Theor., Inst. de Phys. Nucl., Orsay

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 11期

关键词：

D O I：

10.1088/0305-4470/25/11/017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using constrained path integrals and perturbation theory, we study the algebraic area, A, enclosed by closed Brownian curves on various domains such as rectangles or strips. In the limit of infinitely long curves, the probability distribution P(A) is shown to be Gaussian. The standard deviation [A2]1/2 is simply expressed in terms of the length scales of the problem.

引用

页码：3097 / 3102

页数：6

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