Convergence in law for the branching random walk seen from its tip

Details Convergence in law for the branching random walk seen from its tip Convergence in law for the branching random walk seen from its tip

2011-07-13

arxiv.org/abs/1107.2543v2

Mathematics

Probability

62 pages. arXiv admin note: text overlap with arXiv:1101.1810 by different author

Scientific paper

Considering a critical branching random walk on the real line. In a recent paper, Aidekon [3] developed a powerful method to obtain the convergence in law of its minimum after a log-factor normalization. By an adaptation of this method, we show that the point process formed by the branching random walk and its minimum converge in law to a Poisson point process colored by a certain point process. This result, confirming a conjecture of Brunet and Derrida [10], can be viewed as a discrete analog of the corresponding results for the branching brownian motion, previously established by Arguin et al. [5] [6] and Aidekon et al. [2].

Affiliated with

Also associated with

No associations

Rating

Convergence in law for the branching random walk seen from its tip 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 Convergence in law for the branching random walk seen from its tip, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence in law for the branching random walk seen from its tip will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-165797