The dimension of loop-erased random walk in 3D

Details The dimension of loop-erased random walk in 3D The dimension of loop-erased random walk in 3D

2010-08-06

arxiv.org/abs/1008.1147v2

Physical Review E 82(6):062102, 2010

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures. v2 has more data, minor additional changes

Scientific paper

We measure the fractal dimension of loop-erased random walk (LERW) in 3
dimensions, and estimate that it is 1.62400 +- 0.00005. LERW is closely related
to the uniform spanning tree and the abelian sandpile model. We simulated LERW
on both the cubic and face-centered cubic lattices; the corrections to scaling
are slightly smaller for the face-centered cubic lattice.

Affiliated with

Also associated with

No associations

Rating

The dimension of loop-erased random walk in 3D 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 The dimension of loop-erased random walk in 3D, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The dimension of loop-erased random walk in 3D will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-230725