Elliptic Determinantal Processes and Elliptic Dyson Models

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2017
• Автор: Katori, M.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2017
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/149273
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Elliptic Determinantal Processes and Elliptic Dyson Models / M. Katori // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 43 назв. — англ.

We introduce seven families of stochastic systems of interacting particles in one-dimension corresponding to the seven families of irreducible reduced affine root systems. We prove that they are determinantal in the sense that all spatio-temporal correlation functions are given by determinants contr...