Seminário de Probabilidade e Análise Estocástica  RSS

27/05/2026, 17:00 — 18:00 Europe/Lisbon — Instituto Superior Técnicohttps://tecnico.ulisboa.pt
, LPSM, Paris

The Bernoulli lift problem

Take some array, waiting for some numbers to be written. For each column c, toss X(c) some Bernoulli random variable with parameter p. Besides, for each column c, select randomly, in any way, a cell S(c) in this column. The only independence assumption we make is that the random variables X(c) form an independent family. For each column c, when X(c) = 1, write "1" in the cell S(c). Is it always possible to fill the remaining cells of the array so that all cells are independent Bernoulli(p) variables? Studying this question permits to revisit some results from percolation theory. Based on a joint word with Rémy Poudevigne–Auboiron and Paul Rax.

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Excepto para as sessões mais antigas trata-se de sessões do Seminário de Probabilidade e Mecânica Estatística do IMPA e co-organizado com outras instituições, em particular o Instituto Superior Técnico.