Invariant Measures for Discontinuous Skew-Product Actions of Amenable Semigroups and Some Ergodic Results
In this paper, for skew-product actions (SPAs) of amenable semigroups (and commutative semigroups) with discontinuity from the point of view of topology, we establish the Bogolyubov–Krylov theorem for the existence of invariant Borel probability measures. In particular, we obtain uniform and semi-un...
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| Veröffentlicht in: | Bulletin of the Malaysian Mathematical Sciences Society 2023-05, Vol.46 (3), Article 103 |
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| creator | Jafari, Meysam Sahleh, Abbas Tootkaboni, Mohammad Akbari |
| description | In this paper, for skew-product actions (SPAs) of amenable semigroups (and commutative semigroups) with discontinuity from the point of view of topology, we establish the Bogolyubov–Krylov theorem for the existence of invariant Borel probability measures. In particular, we obtain uniform and semi-uniform ergodic theorems for SPAs of amenable semigroups. |
| doi_str_mv | 10.1007/s40840-023-01496-0 |
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| subjects | Applications of Mathematics Discontinuity Ergodic processes Existence theorems Invariants Mathematics Mathematics and Statistics Semigroups Topology |
| title | Invariant Measures for Discontinuous Skew-Product Actions of Amenable Semigroups and Some Ergodic Results |
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