Journal of Statistical Physics

, Volume 73, Issue 3–4, pp 625–641 | Cite as

Tree-based models for random distribution of mass

  • David Aldous
Articles

Abstract

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.

Key words

Spatial distribution random tree super Brownian process large deviations recursive self-similarity 

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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • David Aldous
    • 1
  1. 1.Department of StatisticsUniversity of CaliforniaBerkeleyUSA

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