The Ginibre unitary ensemble (GinUE) consists of $ N\times N $ random matrices with
independent complex standard Gaussian entries. This was introduced in 1965 by Ginbre …

arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 1 Lectures on Coulomb and Riesz Gases
Sylvia Serfaty arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 2 Page 3 Contents Preface 5 …

We study a system of N particles with logarithmic, Coulomb or Riesz pairwise interactions,
confined by an external potential. We examine a microscopic quantity, the tagged empirical …

We consider random normal matrix and planar symplectic ensembles, which can be
interpreted as two-dimensional Coulomb gases having determinantal and Pfaffian …

Sylvia Serfaty is interested in developing analysis tools to understand problems from
physics. She has extensively studied the Ginzburg–Landau model of super-conductivity and …

We consider a classical system of n charged particles in an external confining potential in
any dimension d≥ 2. The particles interact via pairwise repulsive Coulomb forces and the …

We study the moment generating function of the disk counting statistics of a two-dimensional
determinantal point process which generalizes the complex Ginibre point process. This …

The repulsion strength at the origin for repulsive/attractive potentials determines the
regularity of local minimizers of the interaction energy. In this paper, we show that if this …

We study systems of depends on the microscopic arrangement of the points and is
expressed in terms of a 'renormalized energy'. This new object is expected to penalize the …

The existence of compactly supported global minimisers for continuum models of particles
interacting through a potential is shown under almost optimal hypotheses. The main …