Freezing Limits for Beta-Cauchy Ensembles

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Voit, Michael
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211719
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Freezing Limits for Beta-Cauchy Ensembles. Michael Voit. SIGMA 18 (2022), 069, 25 pages

Bessel processes associated with the root systems ₋₁ and describe interacting particle systems with particles on ℝ; they form dynamic versions of the classical -Hermite and Laguerre ensembles. In this paper, we study corresponding Cauchy processes constructed via some subordination. This leads to...