Séminaire de Olivier Bournez (Professeur de l’Ecole Polytechnique, laboratoire LIX), le 14 novembre 2019 à 14h30, site IBGBI: «Calcul analogique/ Analog computations / Computing with proteins or with ordinary differential equations»

Olivier Bournez va nous présenter son travail très original sur le modèle de calcul analogique qui a remporté le grand prix du journal La Recherche en 2019.

Titre: Calcul analogique/ Analog computations / Computing with proteins or with ordinary differential equations.

Résumé:

t turns out that if you just know what 0, 1, -1 are, as well as an addition, and a multiplication, and if you remember what an ordinary differential equation are, then you can (re-)define, (re-)discover and program many concepts from Mathematics and Computer Science. An even explain many concepts in a very simple(r) way to your kids, colleagues, and even grandmother.

In particular, you can present/rediscover descriptive complexity, computability and complexity using polynomial ordinary differential equations only.

A title for this talk could also be « Programing with Ordinary Differential Equations”, as these questions also relate to analog models of computations, and in particular to the 1941 General Purpose Analog Computer of Claude Shannon, and to the machines at the time of your grandmother, and the forgotten art of their programming.

This also relates to today’s and futuristic computation models with molecules/proteins, such as the one that was awarded the Prix du journal La Recherche 2019.