# Shrinking targets on Bedford-McMullen carpets

## TL;DR

This paper investigates the behavior of shrinking target sets within Bedford-McMullen carpets, focusing on cylinders and geometric balls, to understand their measure and dimension properties.

## Contribution

It introduces a detailed analysis of shrinking target sets on Bedford-McMullen carpets, expanding understanding of their measure-theoretic and geometric properties.

## Key findings

- Characterization of measure and dimension of shrinking targets
- Results on the size and distribution of target sets
- Insights into dynamical behavior on fractal carpets

## Abstract

We describe the shrinking target set for the Bedford-McMullen carpets, with targets being either cylinders or geometric balls.