The scaling limit of Fomin's identity for two paths in the plane

Details The scaling limit of Fomin's identity for two paths in the plane The scaling limit of Fomin's identity for two paths in the plane

2007-03-20

arxiv.org/abs/math/0703615v2

C. R. Math. Rep. Acad. Sci. Canada, volume 29, number 3, pages 65-80, 2007

Mathematics

Probability

v2: 14 pages, 2 figures, review paper to appear in C.R. Math. Rep. Acad. Sci. Canada; added brief introduction to SLE, updated

Scientific paper

We review some recently completed research that establishes the scaling limit of Fomin's identity for loop-erased random walk on Z^2 in terms of the chordal Schramm-Loewner evolution (SLE) with parameter 2. In the case of two paths, we provide a simplified proof of the identity for loop-erased random walk and simple random walk, and prove directly that the corresponding identity holds for chordal SLE(2) and Brownian motion. We also include a brief introduction to SLE and discussion of the relationship between SLE(2) and loop-erased random walk.

Affiliated with

Also associated with

No associations

Rating

The scaling limit of Fomin's identity for two paths in the plane 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 scaling limit of Fomin's identity for two paths in the plane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The scaling limit of Fomin's identity for two paths in the plane will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-382657