Nikishin and Anjelesko vector equilibrium problems
and multidimensional Toda lattice. The limiting case when the second interval is a point
Abstract:
In this paper we consider the limiting case of vector equilibrium problems of Angelesco and Nikishin when on the first segment is the mass x, and on the second segment, which is pulled to a point, lies mass y. The linear dependence of the external field on time's. Partial differential equations at the ends are given the bearer of equilibrium measures.
Keywords:
the Toda lattice, vector logarithmic potential problem
