DIFFUSION EQUATION TECHNIQUES IN STOCHASTIC MONOTONICITY AND POSITIVE CORRELATIONS

被引：43

作者：

HERBST, I

PITT, L

机构：

[1] Department of Mathematics, University of Virginia, Charlottesville, 22903, VA

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1991年 / 87卷 / 03期

关键词：

D O I：

10.1007/BF01312211

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：

A diffusion equation approach is investigated for the study of stochastic monotonicity, positive correlations and the preservation of Lipschitz functions. Necessary and sufficient conditions are given for diffusion semi-groups to be stochastically monotonic and to preserve the class of positively correlated measures. Applications are given which discuss the shape of the ground state for Schrodinger operators - DELTA + V with FKG potentials V.

引用

页码：275 / 312

页数：38

共 33 条

[1]

[Anonymous], 1985, INTERACTING PARTICLE

[2] SCHRODINGER-OPERATORS WITH MAGNETIC-FIELDS .3. ATOMS IN HOMOGENEOUS MAGNETIC-FIELD [J].