4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.DS2017★ 1 cited
Periodic -adic Gibbs measures of -states Potts model on Cayley tree: The chaos implies the vastness of -adic Gibbs measures
Mohd Ali Khameini Ahmad, Lingmin Liao, Mansoor Saburov
We study the set of -adic Gibbs measures of the -states Potts model on the Cayley tree of order three. We prove the vastness of the periodic -adic Gibbs measures for such…
math.DS2016★ 4 cited
The Dynamics of The Potts-Bethe Mapping over The Case
Mansoor Saburov, Mohd Ali Khameini Ahmad
In this paper, we study the dynamics of the Potts-Bethe mapping associated with the adic state Potts model over the Cayley tree of order three. Namely, we establish the reg…
math.NT2014
Local Descriptions of Roots of Cubic Equations over P-adic Fields
Mansoor Saburov, Mohd Ali Khameini Ahmad
The most frequently asked question in the adic lattice models of statistical mechanics is that whether a root of a polynomial equation belongs to domains $\mathbb{Z}_p^{*}, \ \…