Probability and Stochastic Analysis Seminar  RSS

Sessions

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.

Senha de zoom: 359751

Except for a few of the oldest sessions these are from the Seminário de Probabilidade e Mecânica Estatística at IMPA which is co-sponsored by several institutions, in particular Instituto Superior Técnico.