Tree-based models for random distribution of mass
- David Aldous
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A mathematical model for distribution of mass ind-dimensional space, based upon randomly embedding random trees into space, is introduced and studied. The model is a variant of thesuper Brownian motion process studied by mathematicians. We present calculations relating to (i) the distribution of position of a typical mass element, (ii) moments of the center of mass, (iii) large-deviation behavior, and (iv) a recursive self-similarity property.
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- Tree-based models for random distribution of mass
Journal of Statistical Physics
Volume 73, Issue 3-4 , pp 625-641
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers-Plenum Publishers
- Additional Links
- Spatial distribution
- random tree
- super Brownian process
- large deviations
- recursive self-similarity
- Industry Sectors
- David Aldous (1)
- Author Affiliations
- 1. Department of Statistics, University of California, 94720, Berkeley, California, USA