# An application of lattice points counting to shrinking target problems

## TL;DR

This paper uses advanced lattice points counting techniques to address a shrinking target problem within the context of geodesic flows on finite-volume hyperbolic manifolds, linking geometric analysis with dynamical systems.

## Contribution

It introduces a novel application of lattice points counting results to solve a specific problem in hyperbolic dynamical systems.

## Key findings

- Successfully applied lattice points counting to shrinking target problems
- Extended methods to geodesic flows on hyperbolic manifolds
- Provided new insights into the distribution of geodesic trajectories

## Abstract

We apply lattice points counting results of Gorodnik and Nevo to solve a shrinking target problem in the setting of geodesic flows on hyperbolic manifolds of finite volume.