advanced_notions:ergodicity
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advanced_notions:ergodicity [2018/07/29 12:41] 77.178.106.156 created |
advanced_notions:ergodicity [2018/07/29 12:44] (current) 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. | ||
| <cite>https://mobile.twitter.com/johncarlosbaez/status/1023252524248137728</cite></blockquote> | <cite>https://mobile.twitter.com/johncarlosbaez/status/1023252524248137728</cite></blockquote> | ||
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| + | see also https://plus.google.com/+johncbaez999/posts/cWQ3RYLCAoi | ||
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| <tabbox Concrete> | <tabbox Concrete> | ||
advanced_notions/ergodicity.1532860894.txt.gz ยท Last modified: 2018/07/29 10:41 (external edit)
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