Alice Guionnet (born 24 May 1969)[1] is a French mathematician known for her work in probability theory, in particular on large random matrices.
[6] She developed the analysis of Dyson-Schwinger equations to obtain topological asymptotic expansions,[7][8] and studied changes in beta-models[9] and random tilings.
[10] In collaboration with Alessio Figalli,[11][12] she introduced the concept of approximate transport to demonstrate the universality of local fluctuations.
Alice Guionnet also demonstrated significant results in free probabilities by comparing Voiculescu entropies,[13] building with Vaughan Jones and Dimitri Shlyakhtenko a round of subfactors from planar algebras of any index,[14] and establishing isomorphisms between the algebras of von Neumann generated by q-Gaussian variables by constructing free transport.
[21] Guinnet is the 2018 winner of the Blaise Pascal Medal in Mathematics of the European Academy of Sciences.