Résumé

Anyons are 2D particles endowed with a statistical parameter interpolating between the symmetry of bosons and the antisymmetry of fermions. In this talk, anyons will be seen as bosons with a particular gauge and I will discuss different recent mathematical results both about the ground state of the N-body almost-bosonic anyons system and the associated dynamics. The talk should then provide a short overview of the mathematical results but also, to some extent, of physics literature.

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