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On Julia Set and Chaos in p-adic Ising Model on the Cayley Tree
Authors:Farrukh?Mukhamedov  author-information"  >  author-information__contact u-icon-before"  >  mailto:farm@gmail.com"   title="  farm@gmail.com"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Otabek?Khakimov
Affiliation:1.Department of Mathematical Sciences, College of Science,The United Arab Emirates University,Al Ain-Abu Dhabi,United Arab Emirates;2.Institute of Mathematics,Tashkent,Uzbekistan
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.
Keywords:
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