Methods of free probability
Résumé
This is an introduction to free probability, or rather to both classical and free probability, which are twin sisters. We discuss in detail the foundations and main results of both theories, by insisting on their common features, and by using a light formalism, based on the moment method and standard calculus. We include as well a discussion of more advanced aspects, in relation with random matrices, groups and quantum groups, free geometry, operator algebras and subfactor theory.
Domaines
Algèbres d'opérateurs [math.OA]
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