# Points accessible in average by rearrangement of sequences

## TL;DR

This paper explores how rearranging a sequence affects the set of its average limit points, revealing the relationship between sequence properties and the structure of accessible average points.

## Contribution

It characterizes the set of limit points of averages of rearranged sequences and links these sets to properties of the original sequence.

## Key findings

- The structure of accessible points depends on sequence properties.
- Certain sets of points can be realized as limit points of rearranged averages.
- The study provides a framework for understanding how rearrangements influence average limits.

## Abstract

We investigate the set of limit points of averages of rearrangements of a given sequence. We study how the properties of the sequence determine the structure of that set and what type of sets we can expect as the set of such accessible points.