”Strong” Ergodicity? A problem of scale and resolution as it’s the norm with everything else

The concept of ergodicity is a scale and resolution dependent concept. Everything can be ergodic if a process or a pattern is analyzed at a scale or resolution that shows ergodic conditions. Yet, there are very few processes or patterns that are truly ergodic and the validity of ergodicity is more related to the question that is posed and how that question is answered. That essentially depends on the fact if people are solving strict mathematical problems / basic science issues or if they are just applying a model which has its own validity on the ergodic assumption.

 

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