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.
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