40 citations · 239 across the 32 of their papers we have counts for
33 papers
A Study of Directional Entropy Arising from \(\mathbb{Z} \times \mathbb{Z}_+\) Semigroup Actions
Hasan Akin
In this chapter, we investigate directional entropy for semigroup actions generated by one-dimensional linear cellular automata (LCAs) and the shift transformation on the compact m…
One-dimensional -state modified Potts model and its thermodynamic functions
Hasan Akin
Since its introduction, the Potts model has gained widespread popularity across various fields due to its diverse applications. Even minor advancements in this model continue to ca…
The algebraic entropy of one-dimensional finitary linear cellular automata
Hasan Akın, Dikran Dikranjan, Anna Giordano Bruno +1
The aim of this paper is to present one-dimensional finitary linear cellular automata on from an algebraic point of view. Among various other results, we: (i) sho…
Phase diagrams of lattice models on Cayley tree and chandelier network: a review
H. Akın
The main purpose of this review paper is to give systematically all the known results on phase diagrams corresponding to lattice models (Ising and Potts) on Cayley tree (or Bethe l…
Directional dynamics of -actions generated by 1D-CA and the shift map
Hasan Akın, Chunlin Liu
In this short paper, we compute the directional sequence entropy for of -actions generated by cellular automata and the shift map. Meanwhile, we stud…
Gibbs measures of the Ising model with mixed spin-1 and spin-1/2 on a Cayley tree
Hasan Akin, Farrukh Mukhamedov
In the present paper, the Ising model with mixed spin-(1,1/2) is considered on the second order Cayley tree. A construction of splitting Gibbs measures corresponding the model is g…