An Isaac Newton Institute Workshop

Random Matrix Theory and Arithmetic Aspects of Quantum Chaos

On distribution of zeros of Heine-Stieltjes polynomials

Author: Dmitry Jakobson (McGill)

Abstract

We introduce Heine-Stieltjes polynomials, describe classical results of Heine, Stieltjes, Van Vleck and Shah on the distribution of their zeros as well as more recent asymptotic results, both in the semiclassical and thermodynamic regime.

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