81 citations · 174 across the 25 of their papers we have counts for
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math.DS2012
A horospherical ratio ergodic theorem for actions of free groups
Lewis Bowen, Amos Nevo
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-singu…
math.DS2012★ 12 cited
Metric Diophantine approximation on homogeneous varieties
Anish Ghosh, Alexander Gorodnik, Amos Nevo
We develop the metric theory of Diophantine approximation on homogeneous varieties of semisimple algebraic groups and prove results analogous to the classical Khinchin and Jarnik t…
math.DS2012★ 1 cited
Ergodic theory and the duality principle on homogeneous spaces
Alexander Gorodnik, Amos Nevo
We prove mean and pointwise ergodic theorems for the action of a discrete lattice subgroup in a connected algebraic Lie group, on infinite volume homogeneous algebraic varieties. U…