Geodesic
Regularity Conditions for Markov Semigroups on Abstract $L^1$-Spaces
Matematičeskie trudy, Tome 7 (2004) no. 1, pp. 50-82

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We study various conditions that ensure mean ergodicity, weak and strong almost periodicity, stochastic stability, and some other kinds of asymptotic regularity for one-parameter Markov semigroups on abstract $L^1$-spaces. 
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     author = {\`E. Yu. Emel'yanov},
     title = {Regularity {Conditions} for {Markov} {Semigroups} on {Abstract} $L^1${-Spaces}},
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È. Yu. Emel'yanov. Regularity Conditions for Markov Semigroups on Abstract $L^1$-Spaces. Matematičeskie trudy, Tome 7 (2004) no. 1, pp. 50-82. http://geodesic.mathdoc.fr/item/MT_2004_7_1_a2/