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advanced_notions:ergodicity [2018/07/29 12:41] 77.178.106.156 created |
advanced_notions:ergodicity [2018/07/29 12:43] jakobadmin [Intuitive] |
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<blockquote>A billiard ball in a rectangle with two circular ends: slight changes in initial conditions make such a big difference that eventually it could be anywhere. To be precise, we say its motion is "ergodic". | <blockquote>A billiard ball in a rectangle with two circular ends: slight changes in initial conditions make such a big difference that eventually it could be anywhere. To be precise, we say its motion is "ergodic". | ||
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+ | {{ :advanced_notions:ergodicity.mp4 |}} | ||
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+ | For the precise definition of "ergodic" read my diary: | ||
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+ | (link: https://tinyurl.com/baez-bunimovich) tinyurl.com/baez-bunimovich | ||
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+ | great example of the evolution of apparent randomness from a completely deterministic process | ||
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+ | Yes, it sort of demystifies how that works. | ||