Open Access

# Percolations and phase transitions in a class of random spin systems

### Abstract

The aim of this paper is to give a review of recent results of Yu. Kondratiev, Yu. Kozitsky, T. Pasurek and myself on the multiplicity of Gibbs states (phase transitions) in infinite spin systems on random configurations, and provide a pedestrian' route following Georgii–Haggstrom approach to (closely related to phase transitions) percolation problems for a class of random point processes.

Key words: Quenched and annealed magnet, configuration space, Gibbs measure, continuum percolation.

### Article Information

 Title Percolations and phase transitions in a class of random spin systems Source Methods Funct. Anal. Topology, Vol. 21 (2015), no. 3, 225-236 MathSciNet MR3521693 zbMATH 06630269 Milestones Received 01/02/2015 Copyright The Author(s) 2015 (CC BY-SA)

### Authors Information

Alexei Daletskii
Department of Mathematics, University of York, Heslington, York, YO10 5DD, UK

### Citation Example

Alexei Daletskii, Percolations and phase transitions in a class of random spin systems, Methods Funct. Anal. Topology 21 (2015), no. 3, 225-236.

### BibTex

@article {MFAT779,
AUTHOR = {Daletskii, Alexei},
TITLE = {Percolations and phase transitions in a class of random spin systems},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {21},
YEAR = {2015},
NUMBER = {3},
PAGES = {225-236},
ISSN = {1029-3531},
MRNUMBER = {MR3521693},
ZBLNUMBER = {06630269},
URL = {http://mfat.imath.kiev.ua/article/?id=779},
}`

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