# topological entropy

## Primary tabs

Synonym:
entropy
Type of Math Object:
Definition
Major Section:
Reference

## Mathematics Subject Classification

### entropy of ergodic and mixing processes

Very interesting definition. If I grok it correctly, it seems to be saying that ergodic processes will have a low entropy in general, which is surprising and counter-intuitive. The only systems I can think of that would have high entropy would be dissipative systems, where, on iteration, large portions of the space ''X'' are abandoned during iteration, and never visited again. So ... its this entropy in fact a measure of dissipation? Can any other intuitive interpretations can be added?

--linas

### Re: entropy of ergodic and mixing processes

Never mind. I've (once again) got the definition exactly upside-down.

### Re: entropy of ergodic and mixing processes

Soo .. is there any way to simply erase/retract/edit/modify this line of posts? I clearly misread the defn, (again), so the comment I just made earlier is nonsense.