81 citations · 98 across the 13 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.DS2013★ 1 cited
Quantitative ergodic theorems and their number-theoretic applications
Alex Gorodnik, Amos Nevo
We present a survey of ergodic theorems for actions of algebraic and arithmetic groups recently established by the authors, as well as some of their applications. Our approach is b…
math.DS2013
Amenable equivalence relations and the construction of ergodic averages for group actions
Lewis Bowen, Amos Nevo
We present a general new method for constructing pointwise ergodic sequences on countable groups, which is applicable to amenable as well as to non-amenable groups and treats both…
math.DS2013
von-Neumann and Birkhoff ergodic theorems for negatively curved groups
Lewis Bowen, Amos Nevo
We prove maximal inequalities for concentric ball and spherical shell averages on a general Gromov hyperbolic group, in arbitrary probability preserving actions of the group. Under…