On Julia Set and Chaos in p-adic Ising Model on the Cayley Tree

Farrukh Mukhamedov, Otabek Khakimov

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

In this paper, we study the chaotic behavior of the p-adic Ising-Potts mapping associated with the p-adic Ising model on the Cayley tree. As an application of this result, we are able to show the existence of periodic (with any period) p-adic quasi Gibbs measures for the model.

Original languageEnglish
Article number23
JournalMathematical Physics Analysis and Geometry
Volume20
Issue number4
DOIs
Publication statusPublished - Dec 1 2017

Keywords

  • Chaos
  • Ising model
  • p-adic numbers
  • p-adic quasi Gibbs measure
  • Periodic
  • Shift

ASJC Scopus subject areas

  • Mathematical Physics
  • Geometry and Topology

Fingerprint

Dive into the research topics of 'On Julia Set and Chaos in p-adic Ising Model on the Cayley Tree'. Together they form a unique fingerprint.

Cite this