# Dynamics on dendrites with closed endpoint sets

## TL;DR

This paper constructs dendrites with endpoint sets matching any totally disconnected compact metric space, enabling the embedding of zero-dimensional systems and addressing chaos-related problems.

## Contribution

It introduces a method to embed zero-dimensional dynamical systems into dendrites with specific endpoint sets, solving a longstanding problem in chaos theory.

## Key findings

- Successfully embeds zero-dimensional systems into dendrites
- Addresses Li-Yorke and distributional chaos problems
- Constructs dendrites with prescribed endpoint sets

## Abstract

We construct dendrites with endpoint sets isometric to any totally disconnected compact metric space. This allows us to embed zero-dimensional dynamical systems into dendrites and solve a problem regarding Li-Yorke and distributional chaos.

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Source: https://tomesphere.com/paper/1907.01884