Measure-valued limits of interacting particle systems with k-nary interactions

被引：0
|
作者：
Vassili N. Kolokoltsov
机构：
[1] Nottingham Trent University,
[2] Dept. Mathematics,undefined
[3] Statistics and Operational Research,undefined
[4] Burton Street,undefined
[5] Nottingham NG1 4BU,undefined
[6] UK. e-mail: vk@maths.ntu.ac.uk,undefined
来源：
Probability Theory and Related Fields | 2003年 / 126卷
关键词：
Markov Process; Particle System; Polynomial Growth; Interact Particle System; Random Evolution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
 Results on existence, uniqueness, non-explosion and stochastic monotonicity are obtained for one-dimensional Markov processes having non-local pseudo-differential generators with symbols of polynomial growth. It is proven that the processes of this kind can be obtained as the limits of random evolutions of systems of identical indistinguishable particles with k-nary interaction.
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页码：364 / 394
页数：30
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