Noncolliding Macdonald Walks with an Absorbing Wall

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Petrov, Leonid
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211825
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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...