Y. Benoist, J.-F. Quint, “Central limit theorem on hyperbolic groups”, Izv. RAN. Ser. Mat., 2016, Volume 80, Issue 1,Pages <nobr>5

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Central limit theorem on hyperbolic groups

Y. Benoist^a, J.-F. Quint^b

^a Paris-Sud University 11
^b Université Bordeaux 1

Abstract: We prove a central limit theorem for random walks with finite variance on Gromov hyperbolic groups.

Keywords: central limit theorem, hyperbolic groups, boundaries, cocycles, martingales, complete convergence, stationary measures.

UDC: 517.938+519.21

MSC: 20F67, 37D40, 60F05, 60G50, 60J50

Received: 03.04.2014

DOI: 10.4213/im8306