On the existence of phase transition for the 1D \(p\)-adic countable state Potts model
type: Item
instance of: scholarly article
title: On the existence of phase transition for the 1D \(p\)-adic countable state Potts model
zbMATH Open document ID: 1331.82016
DOI: 10.1134/S0001434615070305
author: Farruh Mukhamedov
published in: Mathematical Notes
publication date: 2015-10-26T00:00:00Z
review text: This paper expands \(p\)-adic probability theory approaches to the study of nearest-neighbour Potts models on a Cayley tree, in the field of \(p\)-adic numbers, which provides meaningful examples of \(p\)-adic Markov processes. The author proves the existence of phase transition for the countable \(p\)-adic state.
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 05C05
Mathematics Subject Classification ID: 82B26
Mathematics Subject Classification ID: 60J25
zbMATH DE Number: 6498264
zbMATH Keywords: \(p\)-adic numbers
zbMATH Keywords: countable state
zbMATH Keywords: Potts model
zbMATH Keywords: Cayley tree
zbMATH Keywords: Gibbs measure
zbMATH Keywords: phase transitions
zbMATH Keywords: Markov process
reviewed by: Guy Jumarie
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6498264