A note on the projecton of Gibbs measures

József Lőrinczi; Koen Vande Velde

doi:10.1007/BF02179465

A note on the projecton of Gibbs measures

József Lőrinczi^*
, Koen Vande Velde

^*Corresponding author for this work

Research output: Contribution to journal › Comment/Letter to the editor › Academic › peer-review

17 Citations (Scopus)

Abstract

We give an example of a projection which maps two Gibbs measures for the same interaction into Gibbs measures for different interactions. As a corollary we find a case where by decimation a non-Gibbsian measure is transformed into a Gibbs measure.

Original language	English
Pages (from-to)	881-887
Number of pages	7
Journal	Journal of Statistical Physics
Volume	77
Issue number	3-4
DOIs	https://doi.org/10.1007/BF02179465
Publication status	Published - Nov-1994

Keywords

GIBBS MEASURES
NON-GIBBSIAN MEASURES
DECIMATION TRANSFORMATION
PROJECTED MEASURES
RENORMALIZATION-GROUP TRANSFORMATIONS
PATHOLOGIES

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@article{b8b34724348b4f2fa2469ee89543914a,

title = "A note on the projecton of Gibbs measures",

abstract = "We give an example of a projection which maps two Gibbs measures for the same interaction into Gibbs measures for different interactions. As a corollary we find a case where by decimation a non-Gibbsian measure is transformed into a Gibbs measure.",

keywords = "GIBBS MEASURES, NON-GIBBSIAN MEASURES, DECIMATION TRANSFORMATION, PROJECTED MEASURES, RENORMALIZATION-GROUP TRANSFORMATIONS, PATHOLOGIES",

author = "J{\'o}zsef L{\H o}rinczi and \{Vande Velde\}, Koen",

year = "1994",

month = nov,

doi = "10.1007/BF02179465",

language = "English",

volume = "77",

pages = "881--887",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer",

number = "3-4",

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TY - JOUR

T1 - A note on the projecton of Gibbs measures

AU - Lőrinczi, József

AU - Vande Velde, Koen

PY - 1994/11

Y1 - 1994/11

N2 - We give an example of a projection which maps two Gibbs measures for the same interaction into Gibbs measures for different interactions. As a corollary we find a case where by decimation a non-Gibbsian measure is transformed into a Gibbs measure.

AB - We give an example of a projection which maps two Gibbs measures for the same interaction into Gibbs measures for different interactions. As a corollary we find a case where by decimation a non-Gibbsian measure is transformed into a Gibbs measure.

KW - GIBBS MEASURES

KW - NON-GIBBSIAN MEASURES

KW - DECIMATION TRANSFORMATION

KW - PROJECTED MEASURES

KW - RENORMALIZATION-GROUP TRANSFORMATIONS

KW - PATHOLOGIES

U2 - 10.1007/BF02179465

DO - 10.1007/BF02179465

M3 - Comment/Letter to the editor

SN - 0022-4715

VL - 77

SP - 881

EP - 887

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

A note on the projecton of Gibbs measures

Abstract

Keywords

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