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SUMMARY:Large degrees yield short trees - Serte Donderwinkel (Oxford)
DTSTART:20211109T140000Z
DTEND:20211109T150000Z
UID:TALK164470@talks.cam.ac.uk
CONTACT:Jason Miller
DESCRIPTION:I will speak about results from an ongoing project with Louigi
  Addario-Berry. I will present non-asymptotic\, universal height bounds fo
 r random combinatorial trees. We use these results to obtain new height bo
 unds on conditioned Bienaymé-Galton-Watson trees and simply generated tre
 es. Moreover\, I will introduce a stochastic domination result for combina
 torial trees that implies that binary trees are stochastically the tallest
 . These results are based on a new bijection between trees and sequences t
 hat was introduced in a joint work with Louigi Addario-Berry\, Mickaël Ma
 azoun and James Martin.\n
LOCATION:MR12  Centre for Mathematical Sciences
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