Coexistence probability in the last passage percolation model is $6-8\log2$

Details Coexistence probability in the last passage percolation model is $6-8\log2$ Coexistence probability in the last passage percolation model is $6-8\log2$

2010-07-05

arxiv.org/abs/1007.0652v1

Mathematics

Probability

21 pages, 7 figures

Scientific paper

A competition model on $\N^{2}$ between three clusters and governed by directed last passage percolation is considered. We prove that coexistence, i.e. the three clusters are simultaneously unbounded, occurs with probability $6-8\log2$. When this happens, we also prove that the central cluster almost surely has a positive density on $\N^{2}$. Our results rely on three couplings, allowing to link the competition interfaces (which represent the borderlines between the clusters) to some particles in the multi-TASEP, and on recent results about collision in the multi-TASEP.

Affiliated with

Also associated with

No associations

Rating

Coexistence probability in the last passage percolation model is $6-8\log2$ 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 Coexistence probability in the last passage percolation model is $6-8\log2$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coexistence probability in the last passage percolation model is $6-8\log2$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-594899