The $Λ$-coalescent speed of coming down from infinity

Details The $Λ$-coalescent speed of coming down from infinity The $Λ$-coalescent speed of coming down from infinity

2008-07-27

arxiv.org/abs/0807.4278v2

Mathematics

Probability

29 pages

Scientific paper

Consider a $\Lambda$-coalescent that comes down from infinity (meaning that it starts from a configuration containing infinitely many blocks at time 0, yet it has a finite number $N_t$ of blocks at any positive time $t>0$). We exhibit a deterministic function $v:(0,\infty)\to (0,\infty)$, such that $N_t/v(t)\to 1$, almost surely and in $L^p$ for any $p\geq 1$, as $t\to 0$. Our approach relies on a novel martingale technique.

Affiliated with

Also associated with

No associations

Rating

The $Λ$-coalescent speed of coming down from infinity 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 $Λ$-coalescent speed of coming down from infinity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The $Λ$-coalescent speed of coming down from infinity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-144665