81 citations · 174 across the 25 of their papers we have counts for
36 papers
Hardy-Littlewood maximal operator on spaces of exponential volume growth
Koji Fujiwara, Amos Nevo
We consider the Hardy-Littlewood maximal function associated with ball averages on spaces with exponential volume growth. We focus on discrete groups with balls defined by invarian…
Automorphic density estimates and optimal Diophantine exponents
Mikolaj Fraczyk, Alexander Gorodnik, Amos Nevo
The present paper is devoted to establishing an optimal approximation exponent for the action of an irreducible uniform lattice subgroup of a product group on its proper factors. P…
Shannon-McMillan-Breiman theorem along almost geodesics in negatively curved groups
Amos Nevo, Felix Pogorzelski
Consider a non-elementary Gromov-hyperbolic group with a suitable invariant hyperbolic metric, and an ergodic probability measure preserving (p.m.p.) action on . We cons…
On discrepancy, intrinsic Diophantine approximation, and spectral gaps
Alexander Gorodnik, Amos Nevo
In the present paper we establish bounds for the size of the spectral gap for actions of algebraic groups on certain homogeneous spaces. Our approach is based on estimating operato…
Discrepancy of rational points in simple algebraic groups
Alexander Gorodnik, Amos Nevo
The present paper analyzes the discrepancy of distribution of rational points on general semisimple algebraic group varieties. The results include mean-square, almost sure, and uni…
Counting intrinsic Diophantine approximations in simple algebraic groups
Anish Ghosh, Alex Gorodnik, Amos Nevo
We establish an explicit asymptotic formula for the number of rational solutions of intrinsic Diophantine inequalities on simply-connected simple algebraic groups, at arbitrarily s…