[ABE-L] Fwd: Seminário de Probabilidade - IM-UFRJ - 29/09/2025

[Maria Eulalia Vares]

Dear colleagues,



Our next seminar will be held on Monday, *September 29*, from *3:30 p.m. to
4:30 p.m*. (Rio de Janeiro local time).  The meeting will take place at
room *C116- Bloco C - CT** – Instituto de Matemática – UFRJ. *There will be
no transmission online.



Speaker:   Ioannis Tsokanos (UNESP, São José do Rio Preto)

Title: *Randomisation in the Josephus Problem*

Abstract: The Josephus problem is a well--studied elimination problem
consisting in determining the position of the survivor after repeated
applications of a deterministic rule removing one person at a time from a
given group.

In this talk, we introduce a natural probabilistic variant of this process.
More precisely, in this variant, the survivor is determined after
performing a succession of Bernouilli trials with parameter *p* designating
each time the person to remove. When the number of participants tends to
infinity, the main result characterises the limit distribution of the
position of the survivor with an increasing degree of precision as the
parameter approaches the unbiased case *p=1/2*. Then, the convergence rate
to the position of the survivor is obtained in the form of a Central-Limit
Theorem.

A number of other variants of the suggested probabilistic elimination
process are also considered. They each admit a specific limit behavior
which, in most cases, is stated in the form of an open problem.



More complete information about the seminars can be found at

https://ppge.im.ufrj.br/seminarios-de-probabilidade/

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
https://ppge.im.ufrj.br/



-- 
Maria Eulalia Vares
Professora Titular - Instituto de Matemática - UFRJ
Coordenadora do Programa de Pós-Graduação em Estatística
https://ppge.im.ufrj.br/
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