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.