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On asymptotic stability and sweeping for Markov operators. (English) Zbl 0838.47040
Summary: New conditions for asymptotic stability and sweeping of Markov operators are given. These criteria are applied to semigroups of Markov operators generated by partial differential equations.

MSC:
47G10 Integral operators
47B38 Linear operators on function spaces (general)
47D07 Markov semigroups and applications to diffusion processes
47A35 Ergodic theory of linear operators
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