Periodic p-adic Gibbs measures of q-State potts model on Cayley Trees I: The chaos implies the vastness of the set of p-Adic Gibbs measures

• Main Authors: Ahmad, Mohd Ali Khameini, Liao, Lingmin, Saburov, Mansoor
• Format: Article
• Language: English; English; English
• Published: Springer New York LLC 2018
• Subjects: Q Science (General)
• Online Access: http://irep.iium.edu.my/65048/2/65048_Periodic%20p-adic%20Gibbs%20Measures_SCOPUS.pdf; http://irep.iium.edu.my/65048/3/65048_Periodic%20p-adic%20Gibbs%20Measures_WoS.pdf; http://irep.iium.edu.my/65048/19/65048_Periodic%20p-adic%20Gibbs%20measures%20of%20q-State_MYRA.pdf; http://irep.iium.edu.my/65048/; https://link.springer.com/article/10.1007/s10955-018-2053-6
• Institution: Universiti Islam Antarabangsa Malaysia

We study the set of p-adic Gibbs measures of the q-state Potts model on the Cayley tree of order three. We prove the vastness of the set of the periodic p-adic Gibbs measures for such model by showing the chaotic behavior of the corresponding Potts–Bethe mapping over Qp for the prime numbers p≡...