Talks

Anyons are 2d identical quantum particles with an intermediate exchange symmetry characterized by representations of the braid group. In the abelian case, they can be modeled through the so-called magnetic representation, namely as a system of bosons with an Aharonov-Bohm flux attached to each particle. In this talk, I will discuss the construction of self-adjoint […]

We investigate a family of radially symmetric Coulomb gas systems at inverse temperature coming from the normal matrix model. The family is characterised by the property that the density of the equilibrium measure vanishes on a ring at radius , which lies strictly inside the droplet. The large n expansion of the free energy is […]

Effectively describing the long-time dynamical behavior of quantum systems is a long-standing open problem. When the coupling constant λ of the interaction is small, the dynamics of the system up to kinetic time t ~ λ -2 is conjectured to be effectively governed by the Boltzmann-Nordheim kinetic equation. In this talk, we consider a system […]