Ergodic hypothesis
The Ergodic hypothesis (Ref 1 and 2) essentially states that an ensemble average (MC) of an observable, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle < O >_\mu} is equivalent to the time average, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overline{O}_T} of an observable (MD). i.e.
- Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \lim _{T\rightarrow \infty }{\overline {O}}_{T}(\{q_{0}(t)\},\{p_{0}(t)\})=<O>_{\mu }.}
A restatement of the ergodic hypothesis is to say that all allowed states are equally probable.