81 citations · 94 across the 4 of their papers we have counts for
5 papers
Counting lattice points
Alexander Gorodnik, Amos Nevo
For a locally compact second countable group G and a lattice subgroup Gamma, we give an explicit quantitative solution of the lattice point counting problem in general domains in G…
Prime and almost prime integral points on principal homogeneous spaces
Amos Nevo, Peter Sarnak
We develop the affine sieve in the context of orbits of congruence subgroups of semi-simple groups acting linearly on affine space. In particular we give effective bounds for the s…
Invariant rigid geometric structures and smooth projective factors
Amos Nevo, Robert J. Zimmer
We consider actions of non-compact simple Lie groups preserving an analytic rigid geometric structure of algebraic type on a compact manifold. The structure is not assumed to be un…
The ergodic theory of lattice subgroups
Alexander Gorodnik, Amos Nevo
We prove mean and pointwise ergodic theorems for general families of averages on a semisimple algebraic (or S-algebraic) group G, together with an explicit rate of convergence when…
Pointwise ergodic theorems for actions of groups
Amos Nevo
The survey presents the main developments obtained over the last decade regarding pointwise ergodic theorems for measure preserving actions of locally compact groups. The survey in…