A Comment on Ergodic Theorem for Amenable Groups
Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 257-261

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DOI

We prove a version of the ergodic theorem for an action of an amenable group, where a Følner sequence need not be tempered. Instead, it is assumed that a function satisfies certain mixing conditions.
DOI : 10.4153/S0008439519000110
Mots-clés : amenable group, group action, concentration inequality, ergodic average
Frej, Bartosz; Huczek, Dawid. A Comment on Ergodic Theorem for Amenable Groups. Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 257-261. doi: 10.4153/S0008439519000110
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     title = {A {Comment} on {Ergodic} {Theorem} for {Amenable} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {257--261},
     year = {2020},
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     number = {2},
     doi = {10.4153/S0008439519000110},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000110/}
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