pith. sign in

arxiv: 1106.2971 · v3 · pith:TC5DTTDInew · submitted 2011-06-15 · 🧮 math.PR · math-ph· math.CV· math.MP

Coulomb gas ensembles and Laplacian growth

Haakan Hedenmalm , Nikolai Makarov This is my paper
classification 🧮 math.PR math-phmath.CVmath.MP
keywords addingcallcompactcondensateconfiningconsidercoulombdimension
0
0 comments X
read the original abstract

We consider the normal matrix ensemble under a general confining potential. We find that the eigenvalues condensate on a compact set in the plane, which we call the spectral droplet. We also study the evolution of incrementally adding a dimension, i.e., adding an extra electron in this fermionic model.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Sharp deviation inequalities for the 2D Coulomb gas and Quantum hall states, I

    math-ph 2019-06 unverdicted novelty 6.0

    Sharp deviation inequalities are proved for linear statistics of the 2D Coulomb gas using complex geometry and potential theory on Riemann surfaces, extending to beta-ensembles and quantum Hall states.