Noncolliding Macdonald Walks with an Absorbing Wall

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2022
• Автор: Petrov, Leonid
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2022
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211825
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Noncolliding Macdonald Walks with an Absorbing Wall. Leonid Petrov. SIGMA 18 (2022), 079, 21 pages

The branching rule is one of the most fundamental properties of the Macdonald symmetric polynomials. It expresses a Macdonald polynomial as a nonnegative linear combination of Macdonald polynomials with a smaller number of variables. Taking a limit of the branching rule under the principal specializ...