2
$\begingroup$

I am looking for publications dealing with the expected Distance from Origin (not RMS mean) after a Random Walk in a 2 or 3 dimensional space (not latticed). I would appreciate if anyone can point to some references to publications related to (or including) this subject. I am speaking about a Random Walk of N equal steps with random directions in a 2 dimensional space (plane) or in a 3 dimensional (space). No lattice will restrict the possible locations after each step. The request is for references and not for the solution itself! Thanks.

  • 1
    For the simple random walk on the integer line, the distance after $n$ steps is equivalent to $\sqrt{2n/\pi}$. // What do you mean by *2 or 3 dimensional space (not latticed)*?2012-04-10
  • 0
    I approved an edit by an anonymous user, because I felt that it was very likely that the OP was behind the edit. @user28756, do login before editing! Then you don't need to get the edit on your own question approved by a high-rep user. Of course, if I was wrong, and the editor was actually somebody else, then I apologize. The OP can then roll back the edit.2012-04-11
  • 0
    Related:[Expected Value of Random Walk](http://math.stackexchange.com/q/103142/19341)2012-04-16
  • 1
    possible duplicate of [Mean distance from origin after $N$ equal steps of Random-Walk in a $d$-dimensional space.](http://math.stackexchange.com/questions/118889/mean-distance-from-origin-after-n-equal-steps-of-random-walk-in-a-d-dimensio)2014-01-10

0 Answers 0