A closer look.
Ergodicity concerns conditions under which averages over time agree with averages across a statistical ensemble. The property depends on the process and on the observable being averaged.
A useful lens. Not a universal law.
- A difference between a mean and a median alone does not establish non-ergodicity. Finite-horizon simulations illustrate differences between paths and populations, not a proof of an ergodic theorem.
Further reading
A researched reading list is planned for this entry. The current field notes and thinker associations are provisional editorial content.