13 citations · 18 across the 4 of their papers we have counts for
Showing 2003 · math.COShow all
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math.CO2003★ 2 cited
A polynomiality property for Littlewood-Richardson coefficients
Etienne Rassart
We present a polynomiality property of the Littlewood-Richardson coefficients c_{λμ}^ν. The coefficients are shown to be given by polynomials in λ, μand νon the cones of the chambe…
math.CO2003★ 3 cited
Path counting and random matrix theory
Ioana Dumitriu, Etienne Rassart
We establish three identities involving Dyck paths and alternating Motzkin paths, whose proofs are based on variants of the same bijection. We interpret these identities in terms o…
math.CO2003★ 13 cited
A vector partition function for the multiplicities of sl_k(C)
Sara Billey, Victor Guillemin, Etienne Rassart
We use Gelfand-Tsetlin diagrams to write down the weight multiplicity function for the Lie algebra sl_k(C) (type A_{k-1}) as a single partition function. This allows us to apply kn…