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math.CO2015
Rational Parking Functions and LLT Polynomials
Eugene Gorsky, Mikhail Mazin
We prove that the combinatorial side of the "Rational Shuffle Conjecture" provides a Schur-positive symmetric polynomial. Furthermore, we prove that the contribution of a given rat…
math.CO2015
Multigraph Hyperplane Arrangements and Parking Functions
Mikhail Mazin
Back in the nineties Pak and Stanley introduced a labeling of the regions of a k-Shi arrangement by k-parking functions and proved its bijectivity. Duval, Klivans, and Martin consi…