On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree

Andrei Khrennikov; Farrukh Mukhamedov

doi:10.1016/j.na.2009.04.021

On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree

Andrei Khrennikov, Farrukh Mukhamedov

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In the present paper we consider countable state of p-adic Potts model on the tree. Under some condition on weights we establish uniqueness of Gibbs measures for the model. Note that this condition does not depend on values of the prime p. An analogous fact is not true when the number of spins is finite.

Original language	English
Pages (from-to)	5327-5331
Number of pages	5
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	11
DOIs	https://doi.org/10.1016/j.na.2009.04.021
Publication status	Published - Dec 1 2009
Externally published	Yes

Keywords

Gibbs measure
Potts model
Unique
p-adic numbers

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.na.2009.04.021

Cite this

@article{90efdcd2f4114fdb9d4104e38f6655a1,

title = "On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree",

abstract = "In the present paper we consider countable state of p-adic Potts model on the tree. Under some condition on weights we establish uniqueness of Gibbs measures for the model. Note that this condition does not depend on values of the prime p. An analogous fact is not true when the number of spins is finite.",

keywords = "Gibbs measure, Potts model, Unique, p-adic numbers",

author = "Andrei Khrennikov and Farrukh Mukhamedov",

year = "2009",

month = dec,

day = "1",

doi = "10.1016/j.na.2009.04.021",

language = "English",

volume = "71",

pages = "5327--5331",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

number = "11",

}

TY - JOUR

T1 - On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree

AU - Khrennikov, Andrei

AU - Mukhamedov, Farrukh

PY - 2009/12/1

Y1 - 2009/12/1

N2 - In the present paper we consider countable state of p-adic Potts model on the tree. Under some condition on weights we establish uniqueness of Gibbs measures for the model. Note that this condition does not depend on values of the prime p. An analogous fact is not true when the number of spins is finite.

AB - In the present paper we consider countable state of p-adic Potts model on the tree. Under some condition on weights we establish uniqueness of Gibbs measures for the model. Note that this condition does not depend on values of the prime p. An analogous fact is not true when the number of spins is finite.

KW - Gibbs measure

KW - Potts model

KW - Unique

KW - p-adic numbers

UR - http://www.scopus.com/inward/record.url?scp=68349092794&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=68349092794&partnerID=8YFLogxK

U2 - 10.1016/j.na.2009.04.021

DO - 10.1016/j.na.2009.04.021

M3 - Article

AN - SCOPUS:68349092794

SN - 0362-546X

VL - 71

SP - 5327

EP - 5331

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 11

ER -

On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this