On the profile of trees with a given degree sequence

Probability Seminar
Oct 21, 2020 3:10pm to 4:00pm
Location: 
Zoom link: https://berkeley.zoom.us/j/93030418340 Evans Hall
Status: 
Happening As Scheduled
For a given (plane) tree, let N_i be the quantity of individuals with i descendants and define its degree sequence as s=(N_i). Focus will be placed on the uniform distribution on trees whose degree sequence is s. We give conditions for the convergence of the profile (aka the sequence of generation sizes) as the size of the tree goes to infinity. This gives a more general...
Gerónimo URIBE BRAVO, Instituto de Matemáticas Universidad Nacional Autónoma de México