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19 01 IM Seminar NoticiaTítulo: Probabilistic cellular automata with Bernoulli invariant measures

Palestrante: Siamak Taati (American University of Beirut)
Data: 24/01/2022
Horário: 15hrs
Local: Transmissão online

Confira AQUI o link para a transmissão.

Resumo: I will sketch a proof of the following result: If a positive-rate probabilistic cellular automaton has a Bernoulli invariant measure, then it is ergodic, meaning that its distribution starting from any configuration converges (exponentially fast) to that Bernoulli measure. The same result holds for (continuous-time) interacting particle systems. The proof is based on the entropy method, but unlike the usual entropy arguments, does not require the shift-invariance of the starting measure. This result has a practical implication concerning the inevitability of heat dissipation in computers which I will briefly discuss. This is a joint work with Irène Marcovici.

All the talks are held in English.

More complete information about the seminars will be available at HERE.

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Organizers: Giulio Iacobelli and Maria Eulalia Vares