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math.OA2005
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…
math.PR2005
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.
math.OA2005
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)…