2 papers
math.CO2026
A probabilistic interpretation for interpolation Macdonald polynomials
Houcine Ben Dali, Lauren Williams
Previous work of Ayyer, Martin, and Williams gave a probabilistic interpretation of the Macdonald polynomials at in terms of a Markov chain called t…
math.CO2025
A combinatorial formula for Interpolation Macdonald polynomials
Houcine Ben Dali, Lauren Williams
In 1996, Knop and Sahi introduced a remarkable family of inhomogeneous symmetric polynomials, defined via vanishing conditions, whose top homogeneous parts are exactly the Macdonal…