Add to ORKGThe symmetric function operator, nabla, introduced by Bergeron and Garsia(1999), has many astounding combinatorial properties. The (recently proven)Shuffle Conjecture of Haglund, Haiman, Loehr, Remmel, and Ulyanov (2005) relatesnabla en to parking functions. The rational Compositional Shuffle Conjectureof the author, Bergeron, Garsia, and Xin (2015) relates a whole family of operators(closely linked to nabla) to rational parking functions. Loehr andWarrington (2007) conjectured a relationship between nabla pn and preference functions. Weprove this conjecture and provide another combinatorial interpretation in termsof parking functions. This new formula reveals a connection between nabla pn and anoperator appearing in the rational Compositio...
International audienceIn a recent paper, Duane, Garsia, and Zabrocki introduced a new statistic, "nd...
AbstractIn a recent paper, Duane, Garsia, and Zabrocki introduced a new statistic, “ndinv”, on a fam...
AbstractWe prove a combinatorial formula conjectured by Loehr and Warrington for the coefficient of ...
Abstract. The Classical Shuffle Conjecture of Haglund et al. (2005) has a symmetric function side an...
Jim Haglund, Jennifer Morse, and Mike Zabrocki have published papers introducing symmetric function ...
International audienceThe Classical Shuffle Conjecture of Haglund et al. (2005) has a symmetric func...
International audienceThe Classical Shuffle Conjecture of Haglund et al. (2005) has a symmetric func...
The "Shuffle Conjecture" states that the bigraded Frobeneus characteristic of the space of diagonal ...
International audienceIn this article, we show how the compositional refinement of the ``Shuffle Con...
International audienceIn this article, we show how the compositional refinement of the ``Shuffle Con...
The Classical Shuffle Conjecture proposed by Haglund, Haiman, Loehr, Remmel and Ulyanov gives a well...
The Classical Shuffle Conjecture proposed by Haglund, Haiman, Loehr, Remmel and Ulyanov gives a well...
The original Shuffle Conjecture of Haglund et al. has a symmetric function side and a combinatorial ...
We prove that the combinatorial side of the "Rational Shuffle Conjecture" provides a Schur-positive ...
Abstract. In a recent paper [8] J. Haglund showed that the expression ∆hjEn,k, en with ∆hj the Macdo...
International audienceIn a recent paper, Duane, Garsia, and Zabrocki introduced a new statistic, "nd...
AbstractIn a recent paper, Duane, Garsia, and Zabrocki introduced a new statistic, “ndinv”, on a fam...
AbstractWe prove a combinatorial formula conjectured by Loehr and Warrington for the coefficient of ...
Abstract. The Classical Shuffle Conjecture of Haglund et al. (2005) has a symmetric function side an...
Jim Haglund, Jennifer Morse, and Mike Zabrocki have published papers introducing symmetric function ...
International audienceThe Classical Shuffle Conjecture of Haglund et al. (2005) has a symmetric func...
International audienceThe Classical Shuffle Conjecture of Haglund et al. (2005) has a symmetric func...
The "Shuffle Conjecture" states that the bigraded Frobeneus characteristic of the space of diagonal ...
International audienceIn this article, we show how the compositional refinement of the ``Shuffle Con...
International audienceIn this article, we show how the compositional refinement of the ``Shuffle Con...
The Classical Shuffle Conjecture proposed by Haglund, Haiman, Loehr, Remmel and Ulyanov gives a well...
The Classical Shuffle Conjecture proposed by Haglund, Haiman, Loehr, Remmel and Ulyanov gives a well...
The original Shuffle Conjecture of Haglund et al. has a symmetric function side and a combinatorial ...
We prove that the combinatorial side of the "Rational Shuffle Conjecture" provides a Schur-positive ...
Abstract. In a recent paper [8] J. Haglund showed that the expression ∆hjEn,k, en with ∆hj the Macdo...
International audienceIn a recent paper, Duane, Garsia, and Zabrocki introduced a new statistic, "nd...
AbstractIn a recent paper, Duane, Garsia, and Zabrocki introduced a new statistic, “ndinv”, on a fam...
AbstractWe prove a combinatorial formula conjectured by Loehr and Warrington for the coefficient of ...