Loop Measures and the Gaussian Free Field

被引：2

作者：

Lawler, Gregory F. ^{[1
]}

Perlman, Jacob ^{[1
]}

机构：

[1] Univ Chicago, Dept Math, 5734 S Univ Ave, Chicago, IL 60637 USA

来源：

RANDOM WALKS, RANDOM FIELDS, AND DISORDERED SYSTEMS | 2015年 / 2144卷

关键词：

SOUP;

D O I：

10.1007/978-3-319-19339-7_5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：211 / 235

页数：25

共 10 条

[1] THE RANDOM-WALK REPRESENTATION OF CLASSICAL SPIN SYSTEMS AND CORRELATION INEQUALITIES [J].

BRYDGES, D ;

FROHLICH, J ;

SPENCER, T .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 83 (01) :123-150

[2] Functional integral representations for self-avoiding walk [J].

Brydges, David C. ;

Imbrie, John Z. ;

Slade, Gordon .

PROBABILITY SURVEYS, 2009, 6 :34-61

[3] MARKOV-PROCESSES AS A TOOL IN FIELD-THEORY [J].

DYNKIN, EB .

JOURNAL OF FUNCTIONAL ANALYSIS, 1983, 50 (02) :167-187

[4]

Lawler G., 2014, ELECTRON COMMUN PROB, V19

[5]

Lawler G.F., 2010, CAMBRIDGE STUDIES AD, V123

[6] The Brownian loop soup [J].

Lawler, GF ;

Werner, W .

PROBABILITY THEORY AND RELATED FIELDS, 2004, 128 (04) :565-588

[7] Random walk loop soup [J].

Lawler, Gregory F. ;

Ferreras, Jose A. Trujillo .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (02) :767-787

[8]

Le Jan Y., 2012, LECT NOTES MATH, V2026

[9]

Wilson D. B., 1996, Proceedings of the Twenty-Eighth Annual ACM Symposium on the Theory of Computing, P296, DOI 10.1145/237814.237880

[10]

[No title captured]

← 1 →