Repeated bond traversal probabilities for the simple random walk

Details Repeated bond traversal probabilities for the simple random walk Repeated bond traversal probabilities for the simple random walk

2002-05-28

arxiv.org/abs/cond-mat/0205594v1

J. Phys. A: Math. Gen. 35, 8145 (2002)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 3 figures

Scientific paper

10.1088/0305-4470/35/39/301

We consider the average number B_m(t) of bonds traversed exactly m times by a
t step simple random walk. We determine B_m(t) explicitly in the scaling limit
t -> oo with m/sqrt(t) fixed in dimension d=1 and m/log(t) fixed in dimension
d=2. The scaling function is an erfc in d=1 and an exponential in d=2.

Affiliated with

Also associated with

No associations

Rating

Repeated bond traversal probabilities for the simple random walk does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Repeated bond traversal probabilities for the simple random walk, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Repeated bond traversal probabilities for the simple random walk will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-560344