Mass distribution exponents for growing trees

Details Mass distribution exponents for growing trees Mass distribution exponents for growing trees

2006-12-15

arxiv.org/abs/cond-mat/0612412v2

J. Stat. Mech. (2007) P02011

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1742-5468/2007/02/P02011

We investigate the statistics of trees grown from some initial tree by attaching links to preexisting vertices, with attachment probabilities depending only on the valence of these vertices. We consider the asymptotic mass distribution that measures the repartition of the mass of large trees between their different subtrees. This distribution is shown to be a broad distribution and we derive explicit expressions for scaling exponents that characterize its behavior when one subtree is much smaller than the others. We show in particular the existence of various regimes with different values of these mass distribution exponents. Our results are corroborated by a number of exact solutions for particular solvable cases, as well as by numerical simulations.

Affiliated with

Also associated with

No associations

Rating

Mass distribution exponents for growing 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 Mass distribution exponents for growing trees, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mass distribution exponents for growing trees will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-368889