40 citations · 239 across the 32 of their papers we have counts for
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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 Directional Entropy of a -Action
Hasan Akin
Consider the cellular automata (CA) of -action on the space of all doubly infinite sequences with values in a finite set , determined…
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 the Ergodic Properties of Certain Additive Cellular Automata over
Hasan Akin
In this paper, we investigate some ergodic properties of -actions generated by an additive cellular automata and shift acting on the space of all doubly -infinitiv…
N Infinite Dimensional Quadratic Volterra Operators
Farrukh Mukhamedov, Hasan Akin, Seyit Temir
In this paper we study a class of quadratic operators named by Volterra operators on infinite dimensional space. We prove that such operators have infinitely many fixed points and…
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)…