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Feb 12, 2013 at 16:04 comment added joseph f. johnson It has been realised for a long time, even in classical mechanics and classical statistical mechanics, e.g., the theory of Brownian motion, that it should be possible, in principle, to dispense with the equal a priori probability postulate. The thermodynamic limits we get have been noticed to be largely independent of which initial probability distribution you impose on the phase space. A rigorous mathematical investigation of this robustness is felt to be like a Millenium Problem... but in physical terms, the intuition goes back to Sir James Jeans.
Feb 14, 2012 at 5:24 history answered Cristi Stoica CC BY-SA 3.0