%0 Journal Article %T Coordination through De Bruijn sequences %+ Paris-Jourdan Sciences Economiques (PJSE) %+ Departmento Fundamentos del Análisis Económico %A Gossner, Olivier %A Hernandez, Penelope %< avec comité de lecture %@ 0167-6377 %J Operations Research Letters %I Elsevier %V 34 %N 1 %P 17-21 %8 2006-01 %D 2006 %R 10.1016/j.orl.2005.01.006 %K Coordination %K Complexity %K De Bruijn sequences %K Automata %Z Humanities and Social Sciences/Economics and FinanceJournal articles %X Let (xt) be an n-periodic sequence in which the first n elements are drawn i.i.d. according to some rational distribution. We prove there exists a constant C such that whenever mlnm⩾Cn, with probability close to 1, there exists an automaton of size m that matches the sequence at almost all stages. %G English %L halshs-00754177 %U https://pjse.hal.science/halshs-00754177 %~ SHS %~ ENS-PARIS %~ ENPC %~ PJSE %~ CNRS %~ EHESS %~ INRA %~ AO-ECONOMIE %~ PARISTECH %~ PSL %~ AGREENIUM %~ INRAE %~ ENS-PSL