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SUMMARY:Asymptotic normality of fringe subtrees in conditioned Galton--Wat
 son trees  - Svante Janson (Uppsala University)
DTSTART:20140218T163000Z
DTEND:20140218T173000Z
UID:TALK50738@talks.cam.ac.uk
CONTACT:24872
DESCRIPTION:We consider conditioned Galton-Watson trees and show asymptoti
 c normality of\nthe number of fringe subtrees isomorphic to any given tree
 \, and joint\nasymptotic normality for several such subtree counts.\n(This
  improves a law of large numbers shown by Aldous.)\nBy a truncation argume
 nt\, this extends to additive functionals that are defined by toll functio
 ns that are not too large.\nThe offspring distribution defining the random
  tree is assumed to have\nexpectation 1 and finite variance\; no further m
 oment condition is assumed.\nThe methods include transformation to a probl
 em on sums of m-dependent\nvariables\, conditioned on the value of another
  sum. 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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