Poincaré Recurrence Theorem

Re:Poincaré Recurrence Theorem by apetersson on Tuesday January 30, 2024 @07:59AM (#39189577)

Doesn't that only happen in certain dimensionality < 3 ? See also random walks in higher dimensions

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Re:Poincaré Recurrence Theorem by red_trumpet on Tuesday January 30, 2024 @09:24AM (#39190432)

Poincaré recurrence is not about random walks though.

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Re:Poincaré Recurrence Theorem by isotropy on Tuesday January 30, 2024 @09:30AM (#39190490)

You may be thinking of Polya's result, which lets the walker go anywhere on the grid, so there are more possible states than Poincaré allows. For a discrete system, Poincaré assumes (roughly) that the space of possibilities is finite.

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