On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree

• Main Author: Mukhamedov, Farrukh
• Format: Conference or Workshop Item
• Language: English
• Published: 2010
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/8074/1/mf-conf-2010.pdf; http://irep.iium.edu.my/8074/; http://research.utar.edu.my/CMS/ICMSA2010/ICMSA2010_Proceedings/files/keynotes_invited/I-Mukhamedov.pdf

In the present paper we are going to investigate phase transition phenomena from the dynamical system point of view. Using the derived recursive relations we define one dimensional fractional p-adic dynamical system. We establish that if q is divisible by p, then such a dynamical system has two repe...