(Field of Science):
- Mathematics (Natural sciences)
Ministry points: Help
|2021||70||Ministry Scored Journals List 2019|
|2020||70||Ministry Scored Journals List 2019|
|2019||70||Ministry Scored Journals List 2019|
Papers published in journal
It is proved that a kernel, doubly Markovian operator T is asymptotically periodic if and only if its deterministic σ-ﬁeld Σd(T)(equivalently Σd(T∗)) is ﬁnite. It follows that kernel doubly Markovian operator T is asymptotically periodic if and only if T∗ is asymptotically periodic.
We study the convergence of iterates of quadratic stochastic operators that are mean monotonic. They are defined on the convex set of probability measures concentrated on a weakly compact order interval S = [0, f] of a fixed Banach lattice F. We study their regularity and identify the limits of trajectories either as the “infimum” or “supremum” of the support of initial distributions.
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