105 citations · 633 across the 54 of their papers we have counts for
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Expressions for Catalan Kronecker Products
Andrew Brown, Stephanie van Willigenburg, Mike Zabrocki
We give some elementary manifestly positive formulae for the Kronecker products s_(d,d) * s_(d+k,d-k) and s_(d,d) * s_(2d-k,1^k). These formulae demonstrate some fundamental proper…
A Filtration of (q,t)-Catalan numbers
N. Bergeron, F. Descouens, M. Zabrocki
We define new generalizations of (q,t)-Catalan numbers applying nabla operator on k-Schur functions indexed by column partitions. In some special cases, we give a combinatorial int…
A non-commutative generalization of -Schur functions
N. Bergeron, F. Descouens, M. Zabrocki
We introduce non-commutative analogues of -Schur functions of Lapointe-Lascoux and Morse. We give an explicit formulas for the expansions of non-commutive functions with one and…
Analytic aspects of the shuffle product
Marni Mishna, Mike Zabrocki
There exist very lucid explanations of the combinatorial origins of rational and algebraic functions, in particular with respect to regular and context free languages. In the searc…