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I have found out that 1 and 2 dimensional random walks are recurrent. But considering the scenario of an infinite 2d space where the "targets" lie on the point (±2,±2). Is it possible to reach one of these 4 points within a limited time? If yes, what is the average time taken?

  • Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking. – Community Feb 18 '23 at 18:56
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    Those are two different questions. It's certainly possible to reach one of those points within a limited time – that doesn't mean that the expected time exists / is finite. – joriki Feb 18 '23 at 19:02
  • Would you care to explain? – leo2348 Feb 19 '23 at 05:23

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