Statistical properties of $r$-adic processes and their connections to families of popular fractal curves

TL;DR

This paper reviews the statistical properties of r-adic processes and explores their connection to well-known fractal curves, highlighting the fractal nature of their eigenstates and statistical evolution.

Contribution

It provides a comprehensive review of the statistical and fractal properties of r-adic processes and links these to popular fractal curves, emphasizing their eigenstates.

Findings

Connection between singular eigenstates and fractal curves

Fractal properties of r-adic processes analyzed

Statistical evolution exhibits fractal characteristics

Abstract

Results concerning the statists of $r$-adic processes and their fractal properties are reviewed. The connection between singular eigenstates of the statistical evolution of such processes and popular fractal curves is emphasized.