February 21, 2022

# Ergodicity

A die rolled 100 times has equal probabilities to 100 dice rolled once; rolling a die is “ergodic”. But if the die gets chipped after 10 throws so it’s likelier to roll 4, then 1 die 100 times =/= 100 dice once (non-ergodic). Many treat non-ergodic systems as ergodic. Source:

Ergodicity: A die rolled 100 times has equal probabilities to 100 dice rolled once; rolling a die is “ergodic”. But if the die gets chipped after 10 throws so it’s likelier to roll 4, then 1 die 100 times =/= 100 dice once (non-ergodic). Many treat non-ergodic systems as ergodic.

— Gurwinder (@G_S_Bhogal) February 6, 2020