# Combinatorial encoding of continious dynamics, and transfer of the space of paths of the graded graphs

## TL;DR

This paper introduces a new combinatorial encoding method for measure spaces with measure-preserving transformations, providing local finite models to study their dynamical properties.

## Contribution

It presents a novel combinatorial approach to encode measure spaces and transformations, enabling new geometrical models for dynamical systems analysis.

## Key findings

- New combinatorial encoding method for measure spaces
- Locally finite geometrical models for dynamics
- Enhanced tools for studying measure-preserving transformations

## Abstract

These notes follow my articles [1, 6], and give some new important details. We propose here a new combinatorial method of encoding of measure spaces with measure preserving transformations, (or groups of transformations) in order to give new, mostly locally finite geometrical models for investigation of dynamical properties of these objects.