Conservation property of symmetric jump processes

被引：30

作者：

Masamune, Jun ^{[1
]}

Uemura, Toshihiro ^{[2
]}

机构：

[1] Penn State Altoona, Dept Math & Stat, Altoona, PA 16601 USA

[2] Kansai Univ, Fac Engn Sci, Dept Math, Osaka 5648680, Japan

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2011年 / 47卷 / 03期

关键词：

Conservation property; Symmetric Dirichlet forms with jumps; Derivation property; PSEUDO DIFFERENTIAL-OPERATORS; STABLE-LIKE PROCESSES; FELLER PROPERTY; DIRICHLET FORMS; PATH PROPERTIES; HEAT; MANIFOLDS; SPACES;

D O I：

10.1214/09-AIHP368

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：

Motivated by the recent development in the theory of jump processes, we investigate its conservation property. We will show that a jump process is conservative under certain conditions for the volume-growth of the underlying space and the jump rate of the process. We will also present examples of jump processes which satisfy these conditions.

引用

页码：650 / 662

页数：13

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