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Sunday, July 29, 2018

Ergoticity

For maximum benefit fun be sure to watch the animation:


However....

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No particular region of the space is priviliged. No matter where the billiard ball starts, in time it could be anywhere. A bit more exactly (Wikipedia):
In probability theory, an ergodic dynamical system is one that, broadly speaking, has the same behavior averaged over time as averaged over the space of all the system's states in its phase space. In physics the term implies that a system satisfies the ergodic hypothesis of thermodynamics.

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