COMPLETELY ANALYTIC INTERACTIONS WITH INFINITE VALUES

被引：4

作者：

DOBRUSHIN, RL ^{[1
]}

WARSTAT, V ^{[1
]}

机构：

[1] MARTIN LUTHER UNIV,SEKT MATH,O-4010 HALLE,GERMANY

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1990年 / 84卷 / 03期

关键词：

D O I：

10.1007/BF01197889

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 note we extend the notion of completely analytic interactions of Gibbs random fields that is known for finite interactions with finite range to interactions that can have infinite values, too. We formulate a set of ten conditions on such interactions in terms of analyticity properties of the partition functions, or correlation decay. The main theorem states that all these conditions are equivalent. Therefore, an interaction is called a completely analytic interaction, if it satisfies one of these conditions. © 1990 Springer-Verlag.

引用

页码：335 / 359

页数：25

共 12 条

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