Trace estimates for stable processes

被引：29

作者：

Banuelos, Rodrigo ^{[1
]}

Kulczycki, Tadeusz ^{[2
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47906 USA

[2] Wroclaw Univ Technol, Inst Math, PL-50370 Wroclaw, Poland

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2008年 / 142卷 / 3-4期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s00440-007-0106-x

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper we study the behaviour in time of the trace (the partition function) of the heat semigroup associated with symmetric stable processes in domains of R(d). In particular, we show that for domains with the so called R-smoothness property the second terms in the asymptotic as t -> 0 involves the surface area of the domain, just as in the case of Brownian motion.

引用

页码：313 / 338

页数：26

共 26 条

[1]

[Anonymous], 1989, CAMBRIDGE TRACTS MAT

[2] Eigenvalue gaps for the Cauchy process and a Poincare inequality [J].