40 citations · 239 across the 32 of their papers we have counts for
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Exact description of paramagnetic and ferromagnetic phases of an Ising model on a third-order Cayley tree
Hasan Akin
In this paper we analytically study the recurrence equations of an Ising model with three competing interactions on a Cayley tree of order three. We exactly describe paramagnetic a…
On chaotic behavior of the -adic generalized Ising mapping and its application
Farrukh Mukhamedov, Hasan Akin, Mutlay Dogan
In the present paper, by conducting research on the dynamics of the -adic generalized Ising mapping corresponding to renormalization group associated with the -adic Ising-Van…
Gibbs measures and free energies of Ising-Vannimenus Model on the Cayley tree
Farrukh Mukhamedov, Hasan Akin, Otabek Khakimov
In this paper, we consider the Ising-Vannimenus model on a Cayley tree for order two with competing nearest-neighbor and prolonged next-nearest neighbor interactions. We stress tha…
Gibbs Measures with memory of length 2 on an arbitrary order Cayley tree
Hasan Akin
In this paper, we consider the Ising-Vanniminus model on an arbitrary order Cayley tree. We generalize the results conjectured in [Chinese Journal of Physics, 54 (4), 635-649 (2016…