(Almost) Gibbsian description of the sign fields of SOS fields

Aernout C.D. van Enter; Senya B. Shlosman

(Almost) Gibbsian description of the sign fields of SOS fields

Aernout C.D. van Enter, Senya B. Shlosman

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Abstract

An example is presented of a measure on a lattice system which has a measure zero set of points (configurations) where some conditional probability can be discontinuous, but does not become a Gibbs measure under decimation (or other) transformations. We also discuss some related issues.

Original language	English
Pages (from-to)	353-368
Number of pages	16
Journal	Journal of Statistical Physics
Volume	92
Issue number	3-4
Publication status	Published - Aug-1998

Keywords

non-Gibbsian measures
weak versus strong non-Gibbsianness
robustly non-Gibbsian measures
projected Gibbs measures
cluster models
RENORMALIZATION-GROUP TRANSFORMATIONS
1ST-ORDER PHASE-TRANSITIONS
HIGH-TEMPERATURE PHASE
RANDOM-CLUSTER MODEL
RANGE SPIN-GLASSES
GRIFFITHS SINGULARITIES
ENTROPIC REPULSION
SURE QUASILOCALITY
SYSTEMS
STATES

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@article{950b671276e84612808ca5b110485e29,

title = "(Almost) Gibbsian description of the sign fields of SOS fields",

abstract = "An example is presented of a measure on a lattice system which has a measure zero set of points (configurations) where some conditional probability can be discontinuous, but does not become a Gibbs measure under decimation (or other) transformations. We also discuss some related issues.",

keywords = "non-Gibbsian measures, weak versus strong non-Gibbsianness, robustly non-Gibbsian measures, projected Gibbs measures, cluster models, RENORMALIZATION-GROUP TRANSFORMATIONS, 1ST-ORDER PHASE-TRANSITIONS, HIGH-TEMPERATURE PHASE, RANDOM-CLUSTER MODEL, RANGE SPIN-GLASSES, GRIFFITHS SINGULARITIES, ENTROPIC REPULSION, SURE QUASILOCALITY, SYSTEMS, STATES",

author = "Enter, \{Aernout C.D. van\} and Shlosman, \{Senya B.\}",

note = "Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)",

year = "1998",

month = aug,

language = "English",

volume = "92",

pages = "353--368",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer",

number = "3-4",

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TY - JOUR

T1 - (Almost) Gibbsian description of the sign fields of SOS fields

AU - Enter, Aernout C.D. van

AU - Shlosman, Senya B.

N1 - Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)

PY - 1998/8

Y1 - 1998/8

N2 - An example is presented of a measure on a lattice system which has a measure zero set of points (configurations) where some conditional probability can be discontinuous, but does not become a Gibbs measure under decimation (or other) transformations. We also discuss some related issues.

AB - An example is presented of a measure on a lattice system which has a measure zero set of points (configurations) where some conditional probability can be discontinuous, but does not become a Gibbs measure under decimation (or other) transformations. We also discuss some related issues.

KW - non-Gibbsian measures

KW - weak versus strong non-Gibbsianness

KW - robustly non-Gibbsian measures

KW - projected Gibbs measures

KW - cluster models

KW - RENORMALIZATION-GROUP TRANSFORMATIONS

KW - 1ST-ORDER PHASE-TRANSITIONS

KW - HIGH-TEMPERATURE PHASE

KW - RANDOM-CLUSTER MODEL

KW - RANGE SPIN-GLASSES

KW - GRIFFITHS SINGULARITIES

KW - ENTROPIC REPULSION

KW - SURE QUASILOCALITY

KW - SYSTEMS

KW - STATES

M3 - Article

SN - 0022-4715

VL - 92

SP - 353

EP - 368

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

(Almost) Gibbsian description of the sign fields of SOS fields

Abstract

Keywords

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