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CATEGORIES:Combinatorics and Probability Seminar
SUMMARY:Gromov-Hausdorff-Prokhorov convergence of vertex c
ut-trees of n-leaf Galton-Watson trees - Matthias
Winkel (University of Oxford)
DTSTART:20171003T140000Z
DTEND:20171003T150000Z
UID:TALK2825AT
URL:/talk/index/2825
DESCRIPTION:In this paper we study the vertex cut-trees of Gal
ton-Watson trees conditioned to have n leaves. Thi
s notion is a slight variation of Dieuleveut's ver
tex cut-tree of Galton-Watson trees conditioned to
have n vertices. Our main result is a joint Gromo
v-Hausdorff-Prokhorov convergence in the finite va
riance case of the Galton-Watson tree and its vert
ex cut-tree to Bertoin and Miermont's joint distri
bution of the Brownian CRT and its cut-tree. The m
ethods also apply to the infinite variance case\,
but the problem to strengthen Dieuleveut's and Ber
toin and Miermont's Gromov-Prokhorov convergence t
o Gromov-Hausdorff-Prokhorov remains open for thei
r models conditioned to have n vertices.\n\nThis i
s joint work with Hui He\, Beijing Normal Universi
ty.\n
LOCATION:Watson LTA
CONTACT:Guillem Perarnau
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