====== Ergodicity ======

<tabbox Intuitive> 

<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".  

{{ :advanced_notions:ergodicity.mp4 |}}

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.

 
<cite>https://mobile.twitter.com/johncarlosbaez/status/1023252524248137728</cite></blockquote>

see also https://plus.google.com/+johncbaez999/posts/cWQ3RYLCAoi
  
<tabbox Concrete> 

<note tip>
In this section things should be explained by analogy and with pictures and, if necessary, some formulas.
</note>
 
<tabbox Abstract> 

<note tip>
The motto in this section is: //the higher the level of abstraction, the better//.
</note>

<tabbox Why is it interesting?>   

/*<tabbox FAQ>*/ 

/*<tabbox History>*/ 

</tabbox>