# Real Number Walks versus Algorithmic Random Walks

Real Number Walks versus Algorithmic Random Walks

This Demonstration compares an irrational number walk (based on its digital expansion) with algorithmic random walks. The irrational number walks are mathematical constants , , (the golden ratio), (Euler–Mascheroni constant), , log(2) and , where is a prime; they seem to be indistinguishable from algorithmic random walks.

π

e

ϕ

γ

2

p

p

Walks based on the digits of Liouville's constant and the like, which omit some digits entirely, clearly cannot be considered random at all.