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   Jacek Wesołowski (jzillw@mastodon.gamedev.place)'s status on Monday, 25-Mar-2024 04:12:17 JST Jacek Wesołowski

   • Nifflas

   @Nifflas That's a Markov chain, and no, Markov chains aren't always guaranteed to go back to the initial state, depending on their parameters. There's math for that, but I'd have to do a refresher to calculate the actual chance. It's not very high, though, because it gets exponentially worse the further away from 0 you are (and you will get away quickly).

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     Jacek Wesołowski (jzillw@mastodon.gamedev.place)'s status on Monday, 25-Mar-2024 04:41:38 JST Jacek Wesołowski

     • Nifflas

     @Nifflas The mistake in that reasoning is we're not looking for a finite sequence. The further away from 0 you are, the longer the sequence you need gets. For an infinite chain, it tends to get infinitely long.