14 ms·
Doesn't that only happen in certain dimensionality < 3 ? See also random walks in higher dimensions
by apetersson 3y ago
Doesn't that only happen in certain dimensionality < 3 ? See also random walks in higher dimensions
- red_trumpet 3y agoPoincaré recurrence is not about random walks though.
- isotropy 3y agoYou 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.