• Corpus ID: 248266433

# Noncolliding Macdonald walks with an absorbing wall

@inproceedings{Petrov2022NoncollidingMW,
title={Noncolliding Macdonald walks with an absorbing wall},
author={Leonid A. Petrov},
year={2022}
}
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 smaller number of variables. Taking a limit of the branching rule under the principal specialization when the number of variables goes to inﬁnity, we obtain a Markov chain of m noncolliding particles with negative drift and an absorbing wall at zero. The chain depends on the Macdonald parameters…

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