100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Valentin Rapenne

Back to the Future
Jeudi, 23 Septembre, 2021 - 17:30 à 18:30
Résumé : 

In probability theory, mathematicians often get random variables as limit objects of some stochastic processes. For example, this situation is very common when we are able to identify a martingale. A natural question is to know the probability distribution of this limit random variable. However we can also ask ourselves the reverse question: Is it possible to describe the whole stochastic process thanks to the probability distribution of this limit random variable? We will see that this is possible in a particular setting called "exchangeability" thanks to a theorem of De Finetti. We will try to apply it on a simple and well-known example called the "Polya's urn". Finally we will see how exchangeability can be used to study a far more complicated stochastic process: the edge reinforced random walk.

Institution de l'orateur : 
Lyon 1
Thème de recherche : 
Salle : 
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