Non-perturbative criteria for Gibbsian uniqueness

被引：10

作者：

Alexander, KS ^{[1
]}

Chayes, L ^{[1
]}

机构：

[1] UNIV CALIF LOS ANGELES,DEPT MATH,LOS ANGELES,CA 90095

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1997年 / 189卷 / 02期

关键词：

D O I：

10.1007/s002200050210

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For spin-systems with an internal symmetry, we provide sufficient conditions for unicity of the Gibbs state and/or complete analyticity by comparison to random cluster models.

引用

页码：447 / 464

页数：18

共 27 条

[1] SHARPNESS OF THE PHASE-TRANSITION IN PERCOLATION MODELS [J].

AIZENMAN, M ;

BARSKY, DJ .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 108 (03) :489-526

[2] DISCONTINUITY OF THE MAGNETIZATION IN ONE-DIMENSIONAL 1/[X-Y]2 ISING AND POTTS MODELS [J].

AIZENMAN, M ;

CHAYES, JT ;

CHAYES, L ;

NEWMAN, CM .

JOURNAL OF STATISTICAL PHYSICS, 1988, 50 (1-2) :1-40

[3] GEOMETRIC ANALYSIS OF PHI-4 FIELDS AND ISING-MODELS .1.2. [J].

AIZENMAN, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 86 (01) :1-48

[4]

ALEXANDER KB, UNPUB

[5]

ALEXANDER KS, 1996, WEAK MIXING LATTICE

[6] 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

[7] THE RANDOM-WALK REPRESENTATION OF CLASSICAL SPIN SYSTEMS AND CORRELATION INEQUALITIES .2. THE SKELETON INEQUALITIES [J].

BRYDGES, DC ;

FROHLICH, J ;

SOKAL, AD .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 91 (01) :117-139

[8] THE ANALYSIS OF THE WIDOM-ROWLINSON MODEL BY STOCHASTIC GEOMETRIC METHODS [J].

CHAYES, JT ;

CHAYES, L ;

KOTECKY, R .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 172 (03) :551-569

[9] AGGREGATION AND INTERMEDIATE PHASES IN DILUTE SPIN SYSTEMS [J].

CHAYES, L ;

KOTECKY, R ;

SHLOSMAN, SB .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 171 (01) :203-232

[10]

CHAYES L, 1996, UNPUB

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