External matrix field problem and new multicriticalities in (−2)-dimensional random surfaces

Generic behavior of the density of state

Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields

✍ A. B. J. Kuijlaars; K. T-R McLaughlin 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 260 KB 👁 2 views

The equilibrium measure in the presence of an external field plays a role in a number of areas in analysis, for example, in random matrix theory: The limiting mean density of eigenvalues is precisely the density of the equilibrium measure. Typical behavior for the equilibrium measure is: 1. it is p