# Invariant measures involving local inverse iterates

## TL;DR

This paper investigates new invariant measures generated by local inverse iterates, providing examples to illustrate their properties and significance in dynamical systems.

## Contribution

It introduces novel invariant measures based on local inverse iterates, expanding understanding of measure invariance in dynamical systems.

## Key findings

- New invariant measures constructed from local inverse iterates
- Examples demonstrating properties of these measures
- Insights into measure invariance in dynamical systems

## Abstract

We study some new invariant measures arising from local inverse iterates. Examples are also given.