What is...symbolic dynamics?

[@julianwilson9919]

That was a very nice little introduction. Viewers might also be interested in books on this material. Devaney has two nice introductions to discrete time dynamics, for instance, and there is a book on symbolic dynamics by Lind & Marcus.

[@VisualMath]

Excellent, thanks for the references ☺ I will have a look myself, but they will certainly of interest to others as well 👍

[@jakeaustria5445]

Thank you

[@VisualMath]

Welcome ☺

[@eternaldoorman5228]

I was slightly surprised to hear your characterization of symbolic dynamics as one making time discrete because I had always thought of it as a quotient over some sort of space, but then I realised that that makes the time evolution discrete! Nevertheless, it's interesting to wonder about what sorts of statistics you can get from continuous models like Newtonian dynamics with three bodies by varying the partition of the space.

[@VisualMath]

There are certainly several valid characterizations, but for me symbolic dynamics always comes with some form of ‘iteration’ which makes things discrete. Anyway, I hope the point of view was useful ☺

[@eternaldoorman5228]

@@VisualMath Yes it is! Thanks!

[@VisualMath]

@@eternaldoorman5228 Welcome, friend!