Explanation: Random walk in 2D has a unity probability of making it back to the starting point as the number of steps approach infinity but random walk in 3D only has ~0.34.

  • Gogo Sempai@programming.devOP
    12·
    1 year ago

    It’s a “shower thought” lol, not a research paper. Take it as a meme on random walk, which is always explained in universities using the example of a drunk guy so much so that it’s also known as “drunkard’s walk”. Should’ve posted this in a science/physics meme community, my bad.

      • Gogo Sempai@programming.devOP
        1·
        1 year ago

        As I said, it’s a meme on the mathematical concept of random/drunkard walk. It’s not “wrong” given certain assumptions. For 2D, as the number of steps taken by a drunk tend to infinity, the probability of reaching the origin tends to 1:

        https://youtu.be/stgYW6M5o4k

        Real drunks don’t walk in pure 2D plane well of course they don’t, they don’t get infinite number of steps either. No need to take this so seriously. We all happily ignored the air resistance in physics class back in the day didn’t we? :)