HYPERCONTRACTIVITY AND SPECTRAL GAP OF SYMMETRICAL DIFFUSIONS WITH APPLICATIONS TO THE STOCHASTIC ISING-MODELS

被引：61

作者：

DEUSCHEL, JD ^{[1
]}

STROOCK, DW ^{[1
]}

机构：

[1] MIT, CAMBRIDGE, MA 02139 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1990年 / 92卷 / 01期

关键词：

D O I：

10.1016/0022-1236(90)90066-T

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe some results relating the spectral gap and logarithmic Sobolev constants. We work initially in the context of symmetric diffusions on a finite dimensional manifold and later apply our results to the analysis of certain infinite systems of mildly interacting diffusions. © 1990.

引用

页码：30 / 48

页数：19

共 13 条

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[2]

BAKRY D, 1985, LECT NOTES MATH, V1123, P179

[3]

CARLEN EA, 1986, LECT NOTES MATH, V1204, P341

[4] INFINITE-DIMENSIONAL DIFFUSION-PROCESSES AS GIBBS MEASURES ON C[0,1]ZD [J].