Open AccessA horospherical ratio ergodic theorem for actions of free groups
Author(s) -
Lewis Bowen,
Amos Nevo
Publication year - 2014
Publication title -
groups geometry and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.05
H-Index - 25
eISSN - 1661-7215
pISSN - 1661-7207
DOI - 10.4171/ggd/228
Subject(s) - mathematics , ergodic theory , abelian group , equivalence (formal languages) , equivalence relation , pure mathematics , stationary ergodic process , discrete mathematics , invariant measure
We prove a ratio ergodic theorem for amenable equivalence relations satisfying a strong form of the Besicovich covering property. We then use this result to study general non-singular actions of non-abelian free groups and establish a ratio ergodic theorem for averages along horospheres.
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