Add a new page:
Sidebar
advanced_notions:ergodicity
This is an old revision of the document!
Ergodicity
Intuitive
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".
For the precise definition of "ergodic" read my diary:
(link: https://tinyurl.com/baez-bunimovich) tinyurl.com/baez-bunimovich
great example of the evolution of apparent randomness from a completely deterministic process
Yes, it sort of demystifies how that works.
https://mobile.twitter.com/johncarlosbaez/status/1023252524248137728
Concrete
In this section things should be explained by analogy and with pictures and, if necessary, some formulas.
Abstract
The motto in this section is: the higher the level of abstraction, the better.
Why is it interesting?
advanced_notions/ergodicity.1532861022.txt.gz · Last modified: 2018/07/29 10:43 (external edit)
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
