proof of Poincaré recurrence theorem 1
Let . Clearly, and when . Also, , so that for all , by the -invariance of . Now for any we have , so that
Hence for all , so that . But is precisely the set of those such that for some and for all we have .
|Title||proof of Poincaré recurrence theorem 1|
|Date of creation||2013-03-22 14:29:56|
|Last modified on||2013-03-22 14:29:56|
|Last modified by||Koro (127)|