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, of an observable (MD). i.e.
- 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 \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.