Bounds for Kac's master equation

被引：34

作者：

Diaconis, P ^{[1
]}

Saloff-Coste, L

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[2] CNRS, Toulouse, France

[3] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2000年 / 209卷 / 03期

关键词：

D O I：

10.1007/s002200050036

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Mark Kac considered a Markov Chain on the n-sphere based on random rotations in randomly chosen coordinate planes. This same walk was used by Hastings on the orthogonal group. We show that the walk has spectral Sap bounded below by c/n(3). This and curvature information are used to bound the rate of convergence to stationarity.

引用

页码：729 / 755

页数：27

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