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Random (drankard) walk distance after n steps

  1. Feb 26, 2012 #1
    i am tying to analyze a random walk on an integer lattice [itex]\mathbb{Z}^k[/itex]. for [itex]k=1[/itex], what is the probability that after steps the drunkard's distance from the origin is lower than [itex]\sqrt{n}[/itex]?
  2. jcsd
  3. Feb 26, 2012 #2


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    Gold Member

    People on math overflow already gave you a good reference. This is a direct application of the central limit theorem.
  4. Feb 26, 2012 #3
    i need someone to elaborate on the topic. not to give me an answer. i.e. how was the parameters and the model derived.
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