[ABE-L] Fwd: Seminário de Probabilidade do IM - 17 de junho (segunda-feira)

[Maria Eulalia Vares]

Dear colleagues,

Our next seminar will be held on Monday, *June 17*, from *3:30 p.m. to 4:30
p.m*. (Rio de Janeiro local time).  This meeting will take place at room *C116
- Bloco C - CT** – Instituto de Matemática – UFRJ. *There will be no
transmission online.



Speaker: *  Giulio Iacobelli (IM-UFRJ)*

Title: *Structural results for the Tree Builder Random Walk*

Abstract: The Tree Builder Random Walk (TBRW) is a randomly growing tree
built by a walker as it walks around the tree. At each time n, the walker adds
a leaf to its current vertex with probability p_n and then moves to a
uniform random neighbor on the possibly modified tree. When p_n=
n^{-\gamma} with \gamma\in (2/3,1], we show that the tree process at its
growth times can be coupled to be identical to the Barabási-Albert
(BA) preferential
attachment model. The coupling also implies that many properties known for
the BA-model, such as diameter and degree distribution, can be directly
transferred to our TBRW-model.

More complete information about the seminars can be found at

http://www.dme.ufrj.br/?page_id=3481

Sincerely,

Organizers: Giulio Iacobelli and Maria Eulalia Vares


-- 
Maria Eulalia Vares
Professora Titular - Instituto de Matemática - UFRJ
Coordenadora do Programa de Pós-Graduação em Estatística
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