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  "body": "\n## Summary\n\nA wandering set of a map is a set that the map moves completely off itself: none of its later images meets it again.\nA point is a wandering point when it has a neighbourhood that is a wandering set.\nWandering points carry the transient part of the motion, the part that happens once and is never repeated.\nTheir complement, the [[non-wandering set|EY2W34JZA4]], is where all the recurrent behaviour of the system lives.\n\n## Explanations\n\n### L1 human\n\nThink of a ball rolling down a slope into a valley.\nA small region on the slope is carried down and never comes back to overlap with itself.\nThat region is a wandering set, and the points in it are wandering points.\nFor the map $x \\mapsto x + 1$ on the real line, the interval $(0, 1)$ is a wandering set, since its images $(n, n+1)$ never meet it.\n",
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