81 citations · 174 across the 25 of their papers we have counts for
21 papers · 1 filter
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…
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…
Effective counting for discrete lattice orbits in the plane via Eisenstein series
Claire Burrin, Amos Nevo, Rene Rühr +1
We prove effective bounds on the rate in the quadratic growth asymptotics for the orbit of a non-uniform lattice of SL(2,R), acting linearly on the plane. This gives an error bound…
Equidistribution in measure-preserving actions of semisimple groups : case of
Amos Nevo
We prove pointwise convergence for the semi-radial averages on given by (and similar variants), acting on -finite -f…
Effective counting on translation surfaces
Amos Nevo, Rene Rühr, Barak Weiss
We prove an effective version of a celebrated result of Eskin and Masur: for any affine invariant manifold of translation surfaces, almost every translation surface has quadratic g…
The Shannon-McMillan-Breiman theorem beyond amenable groups
Amos Nevo, Felix Pogorzelski
We introduce a new isomorphism-invariant notion of entropy for measure preserving actions of arbitrary countable groups on probability spaces, which we call orbital Rokhlin entropy…