On the Riemann surface type of Random Planar Maps

Details On the Riemann surface type of Random Planar Maps On the Riemann surface type of Random Planar Maps

2011-01-06

arxiv.org/abs/1101.1320v1

Mathematics

Complex Variables

23 pages, 5 figures

Scientific paper

We show that the (random) Riemann surfaces of the Angel-Schramm Uniform Infinite Planar Triangulation and of Sheffield's infinite necklace construction are both parabolic. In other words, Brownian motion on these surfaces is recurrent. We obtain this result as a corollary to a more general theorem on subsequential distributional limits of random unbiased disc triangulations, following work of Benjamini and Schramm.

Affiliated with

Also associated with

No associations

Rating

On the Riemann surface type of Random Planar Maps 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 On the Riemann surface type of Random Planar Maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Riemann surface type of Random Planar Maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-482996