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

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≡...

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Bibliographic Details
Main Authors: Ahmad, Mohd Ali Khameini, Liao, Lingmin, Saburov, Mansoor
Format: Article
Language:English
English
English
Published: Springer New York LLC 2018
Subjects:
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
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