Fluctuations of Interlacing Sequences

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2017
• Main Author: Sodin, S.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/140582
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Fluctuations of Interlacing Sequences / S. Sodin // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 4. — С. 63. — Бібліогр.: 63 назв. — англ.

In a series of works published in the 1990s, Kerov put forth various applications of the circle of ideas centered at the Markov moment problem to the limiting shape of random continual diagrams arising in representation theory and spectral theory. We demonstrate on several examples that his approach...