A conditioning principle for Galton-Watson trees

Details A conditioning principle for Galton-Watson trees A conditioning principle for Galton-Watson trees

2010-06-11

arxiv.org/abs/1006.2315v2

Mathematics

Probability

This is now superseded by a new paper, arXiv:1204.3080, written jointly with Nina Gantert. The new paper contains much stronge

Scientific paper

We show that an infinite Galton-Watson tree, conditioned on its martingale
limit being smaller than $\eps$, converges as $\eps\downarrow 0$ in law to the
regular $\mu$-ary tree, where $\mu$ is the essential minimum of the offspring
distribution. This gives an example of entropic repulsion where the limit has
no entropy.

Affiliated with

Also associated with

No associations

Rating

A conditioning principle for Galton-Watson trees 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 A conditioning principle for Galton-Watson trees, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A conditioning principle for Galton-Watson trees will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-77684