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Jul 27, 2020 at 2:55 comment added Konstantinos Kanakoglou Apart from the initial papers of Poincare and the subsequent version of the proof by Caratheodory (you can find these references for example in: encyclopediaofmath.org/wiki/Poincar%C3%A9_return_theorem), i think you can find a proof for the ergodic "version" of the theorem at: P. Walters, An introduction to ergodic theory, Graduate Texts in Mathematics, Vol. 79. 1982.
Jul 27, 2020 at 1:28 history edited David Roberts
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Jul 27, 2020 at 0:54 history asked peyoterain CC BY-SA 4.0