Optimal prediction and the Klein-Gordon equation

被引：9

作者：

Hald, OH ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 1999年 / 96卷 / 09期

关键词：

D O I：

10.1073/pnas.96.9.4774

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The method of optimal prediction is plied to calculate the future means of solutions to the Klein-Gordon equation, It is shown that, in an appropriate probability space, the difference between the average of all solutions that satisfy certain constraints at time t=0 and the average computed by an approximate method is small with high probability.

引用

页码：4774 / 4779

页数：6