Talk:Poincaré recurrence theorem

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[edit] is this topological or measurable dynamics?

I vaguely recall that the poincare recurrence theorem is a statement in topological dynamics, not measurable dynamics. But I might be wrong. Haven't thought about this stuff for a while. Dmharvey Talk 01:42, 27 August 2005 (UTC)

I vaguely recall a defintion based on measure. I don't think they had topological dynamics in Poincare's time. But I dunno. I'll keep my eye out for a reference. linas 00:56, 30 August 2005 (UTC)

And BTW, have you seen the baker's map images? They're stunning, I remember the first time I saw them. First umpteen-ten-or-hundred-thousand iterations, you have pure, unadulterated white noise. And then, all of a sudden, wham, the original image re-emerges (although its tainted by speckles.) Very dramatic. The speckles are clearly show the recurrance is "measure based". linas 01:01, 30 August 2005 (UTC)

[edit] Expanding the article

Hi, all

I took the liberty to start expanding this article. It definitely needs much more. On the other hand, the last paragraph contains material which is a result of my own thinking about the subject, so it may not be appropriate for inclusion in WP. I hope there are people here who can judge it better.

Dmanin 07:53, 26 November 2005 (UTC)

I think it is appropriate to have a formal statement of the theorem. I don't know the formal statement -- I did once upon a time -- and I'd like to see it there. Dmharvey 14:21, 27 November 2005 (UTC)

I agree completely. Dmanin 23:40, 27 November 2005 (UTC)