A Comment on Ergodic Theorem for Amenable Groups
Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 257-261
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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.
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
@article{10_4153_S0008439519000110,
author = {Frej, Bartosz and Huczek, Dawid},
title = {A {Comment} on {Ergodic} {Theorem} for {Amenable} {Groups}},
journal = {Canadian mathematical bulletin},
pages = {257--261},
year = {2020},
volume = {63},
number = {2},
doi = {10.4153/S0008439519000110},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000110/}
}
TY - JOUR AU - Frej, Bartosz AU - Huczek, Dawid TI - A Comment on Ergodic Theorem for Amenable Groups JO - Canadian mathematical bulletin PY - 2020 SP - 257 EP - 261 VL - 63 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000110/ DO - 10.4153/S0008439519000110 ID - 10_4153_S0008439519000110 ER -
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