2 citations · 2 across the 2 of their papers we have counts for
5 papers
Some Ergodic Properties of Invertible Cellular Automata
Hasan Akin
In this paper we consider invertible one-dimensional linear cellular automata (CA hereafter) defined on a finite alphabet of cardinality , i.e. the maps $T_{f[l,r]}:\mathbb{Z}…
The Measure-Theoretical Entropy of a Linear Cellular Automata with respect to a Markov Measure
Hasan Akin
In this paper we study the measure-theoretical entropy of the one-dimensional linear cellular automata (CA hereafter) , generated by local rule $f(x_{-l},...,x_{r})= \…
On stability properties of positive contractions of -spaces accosiated with finite von Neumann algebras
Farrukh Mukhamedov, Hasan Akin, Seyit Temir
In the paper we extent the notion of Dobrushin coefficient of ergodicity for positive contractions defined on -space associated with finite von Neumann algebra, and in terms o…
On the ergodic principle for Markov and quadratic Stochastic Processes and its relations
Nasir Ganikhodjaev, Hasan Akin, Farrukh Mukhamedov
In the paper we prove that a quadratic stochastic process satisfies the ergodic principle if and only if the associated Markov process satisfies one.
On Mixing and Completely Mixing Properties of Positive -Contractions of Finite Von Neumann Algebras
Farrukh Mukhamedov, Seyit Temir, Hasan Akin
Akcoglu and Suchaston proved the following result: Let $T:L^1(X,{\cf},\m)\to L^1(X,{\cf},\m)$ be a positive contraction. Assume that for $z\in L^1(X,{\cf},\m)$ the sequence $(T^nz)…