40 citations · 239 across the 32 of their papers we have counts for
12 papers · 1 filter
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…
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…
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…
Reversibility Problem of Multidimensional Finite Cellular Automata
Chih-Hung Chang, Hasan Akın
While the reversibility of multidimensional cellular automata is undecidable and there exists a criterion for determining if a multidimensional linear cellular automaton is reversi…
Phase transition and Gibbs Measures of Vannimenus model on semi-infinite Cayley tree of order three
Hasan Akin
Ising model with competing nearest-neighbors and prolonged next-nearest-neighbors interactions on a Cayley tree has long been studied but there are still many problems untouched. T…
On non-Archimedean recurrence equations and their applications
Farrukh Mukhamedov, Hasan Akin
In the present paper we study stability of recurrence equations (which in particular case contain a dynamics of rational functions) generated by contractive functions defined on an…